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Finding the Fourth Proportional to 473,335.80, 709,658.10 and 192,708.60

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Solution

The fourth proportional to 473,335.80, 709,658.10 and 192,708.60 is: 288,922.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,335.80 : 709,658.10 = 192,708.60 : x
  2. Step 2: Convert to fraction form
    473,335.80/709,658.10 = 192,708.60/x
  3. Step 3: Cross multiply
    473,335.80x = 709,658.10 × 192,708.60
  4. Step 4: Simplify right side
    473,335.80x = 136,757,218,929.66
  5. Step 5: Solve for x
    x = 136,757,218,929.66/473,335.80
  6. Step 6: Final answer
    x = 288,922.20

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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.