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Finding the Fourth Proportional to 473,877.90, 710,711.91 and 136,845.18

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Solution

The fourth proportional to 473,877.90, 710,711.91 and 136,845.18 is: 205,237.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,877.90 : 710,711.91 = 136,845.18 : x
  2. Step 2: Convert to fraction form
    473,877.90/710,711.91 = 136,845.18/x
  3. Step 3: Cross multiply
    473,877.90x = 710,711.91 × 136,845.18
  4. Step 4: Simplify right side
    473,877.90x = 97,257,499,252.09
  5. Step 5: Solve for x
    x = 97,257,499,252.09/473,877.90
  6. Step 6: Final answer
    x = 205,237.47

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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.