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Finding the Fourth Proportional to 473,939.75, 710,839.55 and 174,350.27

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Solution

The fourth proportional to 473,939.75, 710,839.55 and 174,350.27 is: 261,499.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,939.75 : 710,839.55 = 174,350.27 : x
  2. Step 2: Convert to fraction form
    473,939.75/710,839.55 = 174,350.27/x
  3. Step 3: Cross multiply
    473,939.75x = 710,839.55 × 174,350.27
  4. Step 4: Simplify right side
    473,939.75x = 123,935,063,043.23
  5. Step 5: Solve for x
    x = 123,935,063,043.23/473,939.75
  6. Step 6: Final answer
    x = 261,499.62

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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.