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Finding the Fourth Proportional to 473,620.30, 710,414.07 and 118,637.38

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Solution

The fourth proportional to 473,620.30, 710,414.07 and 118,637.38 is: 177,951.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,620.30 : 710,414.07 = 118,637.38 : x
  2. Step 2: Convert to fraction form
    473,620.30/710,414.07 = 118,637.38/x
  3. Step 3: Cross multiply
    473,620.30x = 710,414.07 × 118,637.38
  4. Step 4: Simplify right side
    473,620.30x = 84,281,663,979.94
  5. Step 5: Solve for x
    x = 84,281,663,979.94/473,620.30
  6. Step 6: Final answer
    x = 177,951.97

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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.