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Finding the Fourth Proportional to 418,514.06, 627,574.22 and 292,296.82

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Solution

The fourth proportional to 418,514.06, 627,574.22 and 292,296.82 is: 438,307.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,514.06 : 627,574.22 = 292,296.82 : x
  2. Step 2: Convert to fraction form
    418,514.06/627,574.22 = 292,296.82/x
  3. Step 3: Cross multiply
    418,514.06x = 627,574.22 × 292,296.82
  4. Step 4: Simplify right side
    418,514.06x = 183,437,948,819.98
  5. Step 5: Solve for x
    x = 183,437,948,819.98/418,514.06
  6. Step 6: Final answer
    x = 438,307.73

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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.