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Finding the Fourth Proportional to 509,534.20, 764,106.90 and 154,430.20

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Solution

The fourth proportional to 509,534.20, 764,106.90 and 154,430.20 is: 231,586.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,534.20 : 764,106.90 = 154,430.20 : x
  2. Step 2: Convert to fraction form
    509,534.20/764,106.90 = 154,430.20/x
  3. Step 3: Cross multiply
    509,534.20x = 764,106.90 × 154,430.20
  4. Step 4: Simplify right side
    509,534.20x = 118,001,181,388.38
  5. Step 5: Solve for x
    x = 118,001,181,388.38/509,534.20
  6. Step 6: Final answer
    x = 231,586.38

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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.