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Finding the Fourth Proportional to 403,542.96, 556,867.76 and 231,451.98

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Solution

The fourth proportional to 403,542.96, 556,867.76 and 231,451.98 is: 319,391.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,542.96 : 556,867.76 = 231,451.98 : x
  2. Step 2: Convert to fraction form
    403,542.96/556,867.76 = 231,451.98/x
  3. Step 3: Cross multiply
    403,542.96x = 556,867.76 × 231,451.98
  4. Step 4: Simplify right side
    403,542.96x = 128,888,145,650.17
  5. Step 5: Solve for x
    x = 128,888,145,650.17/403,542.96
  6. Step 6: Final answer
    x = 319,391.39

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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.