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Finding the Fourth Proportional to 473,490.97, 710,236.46 and 173,841.90

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Solution

The fourth proportional to 473,490.97, 710,236.46 and 173,841.90 is: 260,762.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,490.97 : 710,236.46 = 173,841.90 : x
  2. Step 2: Convert to fraction form
    473,490.97/710,236.46 = 173,841.90/x
  3. Step 3: Cross multiply
    473,490.97x = 710,236.46 × 173,841.90
  4. Step 4: Simplify right side
    473,490.97x = 123,468,857,421.97
  5. Step 5: Solve for x
    x = 123,468,857,421.97/473,490.97
  6. Step 6: Final answer
    x = 260,762.85

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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.