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Finding the Fourth Proportional to 473,838.52, 710,652.98 and 136,805.90

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Solution

The fourth proportional to 473,838.52, 710,652.98 and 136,805.90 is: 205,178.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,838.52 : 710,652.98 = 136,805.90 : x
  2. Step 2: Convert to fraction form
    473,838.52/710,652.98 = 136,805.90/x
  3. Step 3: Cross multiply
    473,838.52x = 710,652.98 × 136,805.90
  4. Step 4: Simplify right side
    473,838.52x = 97,221,520,516.58
  5. Step 5: Solve for x
    x = 97,221,520,516.58/473,838.52
  6. Step 6: Final answer
    x = 205,178.59

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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.