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Finding the Fourth Proportional to 614,426.28, 847,926.26 and 359,753.64

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Solution

The fourth proportional to 614,426.28, 847,926.26 and 359,753.64 is: 496,470.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,426.28 : 847,926.26 = 359,753.64 : x
  2. Step 2: Convert to fraction form
    614,426.28/847,926.26 = 359,753.64/x
  3. Step 3: Cross multiply
    614,426.28x = 847,926.26 × 359,753.64
  4. Step 4: Simplify right side
    614,426.28x = 305,044,558,486.59
  5. Step 5: Solve for x
    x = 305,044,558,486.59/614,426.28
  6. Step 6: Final answer
    x = 496,470.56

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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.