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Finding the Fourth Proportional to 409,325.27, 614,053.51 and 172,702.80

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Solution

The fourth proportional to 409,325.27, 614,053.51 and 172,702.80 is: 259,081.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,325.27 : 614,053.51 = 172,702.80 : x
  2. Step 2: Convert to fraction form
    409,325.27/614,053.51 = 172,702.80/x
  3. Step 3: Cross multiply
    409,325.27x = 614,053.51 × 172,702.80
  4. Step 4: Simplify right side
    409,325.27x = 106,048,760,095.07
  5. Step 5: Solve for x
    x = 106,048,760,095.07/409,325.27
  6. Step 6: Final answer
    x = 259,081.88

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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.