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Finding the Fourth Proportional to 418,514.07, 627,574.23 and 292,296.84

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Solution

The fourth proportional to 418,514.07, 627,574.23 and 292,296.84 is: 438,307.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,514.07 : 627,574.23 = 292,296.84 : x
  2. Step 2: Convert to fraction form
    418,514.07/627,574.23 = 292,296.84/x
  3. Step 3: Cross multiply
    418,514.07x = 627,574.23 × 292,296.84
  4. Step 4: Simplify right side
    418,514.07x = 183,437,964,294.43
  5. Step 5: Solve for x
    x = 183,437,964,294.43/418,514.07
  6. Step 6: Final answer
    x = 438,307.76

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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.