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Finding the Fourth Proportional to 538,751.52, 807,952.32 and 254,398.08

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Solution

The fourth proportional to 538,751.52, 807,952.32 and 254,398.08 is: 381,514.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,751.52 : 807,952.32 = 254,398.08 : x
  2. Step 2: Convert to fraction form
    538,751.52/807,952.32 = 254,398.08/x
  3. Step 3: Cross multiply
    538,751.52x = 807,952.32 × 254,398.08
  4. Step 4: Simplify right side
    538,751.52x = 205,541,518,939.55
  5. Step 5: Solve for x
    x = 205,541,518,939.55/538,751.52
  6. Step 6: Final answer
    x = 381,514.50

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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.