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Finding the Fourth Proportional to 657,891.52, 908,034.20 and 416,495.93

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Solution

The fourth proportional to 657,891.52, 908,034.20 and 416,495.93 is: 574,855.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,891.52 : 908,034.20 = 416,495.93 : x
  2. Step 2: Convert to fraction form
    657,891.52/908,034.20 = 416,495.93/x
  3. Step 3: Cross multiply
    657,891.52x = 908,034.20 × 416,495.93
  4. Step 4: Simplify right side
    657,891.52x = 378,192,543,540.02
  5. Step 5: Solve for x
    x = 378,192,543,540.02/657,891.52
  6. Step 6: Final answer
    x = 574,855.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.