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Finding the Fourth Proportional to 707,708.20, 976,838.02 and 466,167.08

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Solution

The fourth proportional to 707,708.20, 976,838.02 and 466,167.08 is: 643,442.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,708.20 : 976,838.02 = 466,167.08 : x
  2. Step 2: Convert to fraction form
    707,708.20/976,838.02 = 466,167.08/x
  3. Step 3: Cross multiply
    707,708.20x = 976,838.02 × 466,167.08
  4. Step 4: Simplify right side
    707,708.20x = 455,369,727,416.38
  5. Step 5: Solve for x
    x = 455,369,727,416.38/707,708.20
  6. Step 6: Final answer
    x = 643,442.77

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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.