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Finding the Fourth Proportional to 473,876.40, 710,709.66 and 136,843.68

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Solution

The fourth proportional to 473,876.40, 710,709.66 and 136,843.68 is: 205,235.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,876.40 : 710,709.66 = 136,843.68 : x
  2. Step 2: Convert to fraction form
    473,876.40/710,709.66 = 136,843.68/x
  3. Step 3: Cross multiply
    473,876.40x = 710,709.66 × 136,843.68
  4. Step 4: Simplify right side
    473,876.40x = 97,256,125,285.95
  5. Step 5: Solve for x
    x = 97,256,125,285.95/473,876.40
  6. Step 6: Final answer
    x = 205,235.22

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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.