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Finding the Fourth Proportional to 378,010.17, 566,818.38 and 178,276.92

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Solution

The fourth proportional to 378,010.17, 566,818.38 and 178,276.92 is: 267,322.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,010.17 : 566,818.38 = 178,276.92 : x
  2. Step 2: Convert to fraction form
    378,010.17/566,818.38 = 178,276.92/x
  3. Step 3: Cross multiply
    378,010.17x = 566,818.38 × 178,276.92
  4. Step 4: Simplify right side
    378,010.17x = 101,050,634,985.79
  5. Step 5: Solve for x
    x = 101,050,634,985.79/378,010.17
  6. Step 6: Final answer
    x = 267,322.53

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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.