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Finding the Fourth Proportional to 473,098.83, 709,658.30 and 169,512.76

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Solution

The fourth proportional to 473,098.83, 709,658.30 and 169,512.76 is: 254,272.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,098.83 : 709,658.30 = 169,512.76 : x
  2. Step 2: Convert to fraction form
    473,098.83/709,658.30 = 169,512.76/x
  3. Step 3: Cross multiply
    473,098.83x = 709,658.30 × 169,512.76
  4. Step 4: Simplify right side
    473,098.83x = 120,296,138,162.39
  5. Step 5: Solve for x
    x = 120,296,138,162.39/473,098.83
  6. Step 6: Final answer
    x = 254,272.74

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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.