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Finding the Fourth Proportional to 500,712.20, 752,056.09 and 430,210.61

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Solution

The fourth proportional to 500,712.20, 752,056.09 and 430,210.61 is: 646,164.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,712.20 : 752,056.09 = 430,210.61 : x
  2. Step 2: Convert to fraction form
    500,712.20/752,056.09 = 430,210.61/x
  3. Step 3: Cross multiply
    500,712.20x = 752,056.09 × 430,210.61
  4. Step 4: Simplify right side
    500,712.20x = 323,542,504,397.31
  5. Step 5: Solve for x
    x = 323,542,504,397.31/500,712.20
  6. Step 6: Final answer
    x = 646,164.62

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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.