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Finding the Fourth Proportional to 538,461.12, 807,691.68 and 183,292.32

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Solution

The fourth proportional to 538,461.12, 807,691.68 and 183,292.32 is: 274,938.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,461.12 : 807,691.68 = 183,292.32 : x
  2. Step 2: Convert to fraction form
    538,461.12/807,691.68 = 183,292.32/x
  3. Step 3: Cross multiply
    538,461.12x = 807,691.68 × 183,292.32
  4. Step 4: Simplify right side
    538,461.12x = 148,043,681,871.90
  5. Step 5: Solve for x
    x = 148,043,681,871.90/538,461.12
  6. Step 6: Final answer
    x = 274,938.48

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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.