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Finding the Fourth Proportional to 473,839.90, 710,655.29 and 136,807.23

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Solution

The fourth proportional to 473,839.90, 710,655.29 and 136,807.23 is: 205,180.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,839.90 : 710,655.29 = 136,807.23 : x
  2. Step 2: Convert to fraction form
    473,839.90/710,655.29 = 136,807.23/x
  3. Step 3: Cross multiply
    473,839.90x = 710,655.29 × 136,807.23
  4. Step 4: Simplify right side
    473,839.90x = 97,222,781,709.75
  5. Step 5: Solve for x
    x = 97,222,781,709.75/473,839.90
  6. Step 6: Final answer
    x = 205,180.66

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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.