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Finding the Fourth Proportional to 717,318.72, 989,902.80 and 411,406.92

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Solution

The fourth proportional to 717,318.72, 989,902.80 and 411,406.92 is: 567,743.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,318.72 : 989,902.80 = 411,406.92 : x
  2. Step 2: Convert to fraction form
    717,318.72/989,902.80 = 411,406.92/x
  3. Step 3: Cross multiply
    717,318.72x = 989,902.80 × 411,406.92
  4. Step 4: Simplify right side
    717,318.72x = 407,252,862,047.38
  5. Step 5: Solve for x
    x = 407,252,862,047.38/717,318.72
  6. Step 6: Final answer
    x = 567,743.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.