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Finding the Fourth Proportional to 509,534.70, 764,107.65 and 154,430.70

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Solution

The fourth proportional to 509,534.70, 764,107.65 and 154,430.70 is: 231,587.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,534.70 : 764,107.65 = 154,430.70 : x
  2. Step 2: Convert to fraction form
    509,534.70/764,107.65 = 154,430.70/x
  3. Step 3: Cross multiply
    509,534.70x = 764,107.65 × 154,430.70
  4. Step 4: Simplify right side
    509,534.70x = 118,001,679,264.86
  5. Step 5: Solve for x
    x = 118,001,679,264.86/509,534.70
  6. Step 6: Final answer
    x = 231,587.13

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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.