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Finding the Fourth Proportional to 559,461.14, 772,342.29 and 379,125.86

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Solution

The fourth proportional to 559,461.14, 772,342.29 and 379,125.86 is: 523,387.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,461.14 : 772,342.29 = 379,125.86 : x
  2. Step 2: Convert to fraction form
    559,461.14/772,342.29 = 379,125.86/x
  3. Step 3: Cross multiply
    559,461.14x = 772,342.29 × 379,125.86
  4. Step 4: Simplify right side
    559,461.14x = 292,814,934,910.62
  5. Step 5: Solve for x
    x = 292,814,934,910.62/559,461.14
  6. Step 6: Final answer
    x = 523,387.44

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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.