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Finding the Fourth Proportional to 473,799.97, 710,488.77 and 136,760.48

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Solution

The fourth proportional to 473,799.97, 710,488.77 and 136,760.48 is: 205,079.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,799.97 : 710,488.77 = 136,760.48 : x
  2. Step 2: Convert to fraction form
    473,799.97/710,488.77 = 136,760.48/x
  3. Step 3: Cross multiply
    473,799.97x = 710,488.77 × 136,760.48
  4. Step 4: Simplify right side
    473,799.97x = 97,166,787,815.35
  5. Step 5: Solve for x
    x = 97,166,787,815.35/473,799.97
  6. Step 6: Final answer
    x = 205,079.77

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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.