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Finding the Fourth Proportional to 473,219.59, 709,835.53 and 136,265.76

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Solution

The fourth proportional to 473,219.59, 709,835.53 and 136,265.76 is: 204,400.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,219.59 : 709,835.53 = 136,265.76 : x
  2. Step 2: Convert to fraction form
    473,219.59/709,835.53 = 136,265.76/x
  3. Step 3: Cross multiply
    473,219.59x = 709,835.53 × 136,265.76
  4. Step 4: Simplify right side
    473,219.59x = 96,726,279,404.38
  5. Step 5: Solve for x
    x = 96,726,279,404.38/473,219.59
  6. Step 6: Final answer
    x = 204,400.41

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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.