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Finding the Fourth Proportional to 473,839.65, 710,654.91 and 136,806.98

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Solution

The fourth proportional to 473,839.65, 710,654.91 and 136,806.98 is: 205,180.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,839.65 : 710,654.91 = 136,806.98 : x
  2. Step 2: Convert to fraction form
    473,839.65/710,654.91 = 136,806.98/x
  3. Step 3: Cross multiply
    473,839.65x = 710,654.91 × 136,806.98
  4. Step 4: Simplify right side
    473,839.65x = 97,222,553,835.91
  5. Step 5: Solve for x
    x = 97,222,553,835.91/473,839.65
  6. Step 6: Final answer
    x = 205,180.28

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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.