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Finding the Fourth Proportional to 713,881.80, 1,071,773.04 and 414,577.20

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Solution

The fourth proportional to 713,881.80, 1,071,773.04 and 414,577.20 is: 622,417.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,881.80 : 1,071,773.04 = 414,577.20 : x
  2. Step 2: Convert to fraction form
    713,881.80/1,071,773.04 = 414,577.20/x
  3. Step 3: Cross multiply
    713,881.80x = 1,071,773.04 × 414,577.20
  4. Step 4: Simplify right side
    713,881.80x = 444,332,665,958.69
  5. Step 5: Solve for x
    x = 444,332,665,958.69/713,881.80
  6. Step 6: Final answer
    x = 622,417.70

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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.