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Finding the Fourth Proportional to 493,265.40, 739,898.10 and 473,911.80

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Solution

The fourth proportional to 493,265.40, 739,898.10 and 473,911.80 is: 710,867.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,265.40 : 739,898.10 = 473,911.80 : x
  2. Step 2: Convert to fraction form
    493,265.40/739,898.10 = 473,911.80/x
  3. Step 3: Cross multiply
    493,265.40x = 739,898.10 × 473,911.80
  4. Step 4: Simplify right side
    493,265.40x = 350,646,440,387.58
  5. Step 5: Solve for x
    x = 350,646,440,387.58/493,265.40
  6. Step 6: Final answer
    x = 710,867.70

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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.