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Finding the Fourth Proportional to 509,430.60, 764,145.90 and 462,191.40

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Solution

The fourth proportional to 509,430.60, 764,145.90 and 462,191.40 is: 693,287.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,430.60 : 764,145.90 = 462,191.40 : x
  2. Step 2: Convert to fraction form
    509,430.60/764,145.90 = 462,191.40/x
  3. Step 3: Cross multiply
    509,430.60x = 764,145.90 × 462,191.40
  4. Step 4: Simplify right side
    509,430.60x = 353,181,663,325.26
  5. Step 5: Solve for x
    x = 353,181,663,325.26/509,430.60
  6. Step 6: Final answer
    x = 693,287.10

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.