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Finding the Fourth Proportional to 473,362.38, 710,049.85 and 157,819.39

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Solution

The fourth proportional to 473,362.38, 710,049.85 and 157,819.39 is: 236,731.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,362.38 : 710,049.85 = 157,819.39 : x
  2. Step 2: Convert to fraction form
    473,362.38/710,049.85 = 157,819.39/x
  3. Step 3: Cross multiply
    473,362.38x = 710,049.85 × 157,819.39
  4. Step 4: Simplify right side
    473,362.38x = 112,059,633,407.50
  5. Step 5: Solve for x
    x = 112,059,633,407.50/473,362.38
  6. Step 6: Final answer
    x = 236,731.18

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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.