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Finding the Fourth Proportional to 509,406.30, 764,109.45 and 243,685.80

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Solution

The fourth proportional to 509,406.30, 764,109.45 and 243,685.80 is: 365,528.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,406.30 : 764,109.45 = 243,685.80 : x
  2. Step 2: Convert to fraction form
    509,406.30/764,109.45 = 243,685.80/x
  3. Step 3: Cross multiply
    509,406.30x = 764,109.45 × 243,685.80
  4. Step 4: Simplify right side
    509,406.30x = 186,202,622,610.81
  5. Step 5: Solve for x
    x = 186,202,622,610.81/509,406.30
  6. Step 6: Final answer
    x = 365,528.70

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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.