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Finding the Fourth Proportional to 473,503.80, 710,255.70 and 398,854.20

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Solution

The fourth proportional to 473,503.80, 710,255.70 and 398,854.20 is: 598,281.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,503.80 : 710,255.70 = 398,854.20 : x
  2. Step 2: Convert to fraction form
    473,503.80/710,255.70 = 398,854.20/x
  3. Step 3: Cross multiply
    473,503.80x = 710,255.70 × 398,854.20
  4. Step 4: Simplify right side
    473,503.80x = 283,288,469,018.94
  5. Step 5: Solve for x
    x = 283,288,469,018.94/473,503.80
  6. Step 6: Final answer
    x = 598,281.30

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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.