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Finding the Fourth Proportional to 378,499.61, 567,727.14 and 141,822.47

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Solution

The fourth proportional to 378,499.61, 567,727.14 and 141,822.47 is: 212,725.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,499.61 : 567,727.14 = 141,822.47 : x
  2. Step 2: Convert to fraction form
    378,499.61/567,727.14 = 141,822.47/x
  3. Step 3: Cross multiply
    378,499.61x = 567,727.14 × 141,822.47
  4. Step 4: Simplify right side
    378,499.61x = 80,516,465,280.84
  5. Step 5: Solve for x
    x = 80,516,465,280.84/378,499.61
  6. Step 6: Final answer
    x = 212,725.36

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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.