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Finding the Fourth Proportional to 509,048.40, 763,572.60 and 460,059.60

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Solution

The fourth proportional to 509,048.40, 763,572.60 and 460,059.60 is: 690,089.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,048.40 : 763,572.60 = 460,059.60 : x
  2. Step 2: Convert to fraction form
    509,048.40/763,572.60 = 460,059.60/x
  3. Step 3: Cross multiply
    509,048.40x = 763,572.60 × 460,059.60
  4. Step 4: Simplify right side
    509,048.40x = 351,288,904,926.96
  5. Step 5: Solve for x
    x = 351,288,904,926.96/509,048.40
  6. Step 6: Final answer
    x = 690,089.40

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