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Finding the Fourth Proportional to 310,854.56, 429,156.24 and 205,177.76

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Solution

The fourth proportional to 310,854.56, 429,156.24 and 205,177.76 is: 283,262.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,854.56 : 429,156.24 = 205,177.76 : x
  2. Step 2: Convert to fraction form
    310,854.56/429,156.24 = 205,177.76/x
  3. Step 3: Cross multiply
    310,854.56x = 429,156.24 × 205,177.76
  4. Step 4: Simplify right side
    310,854.56x = 88,053,316,013.22
  5. Step 5: Solve for x
    x = 88,053,316,013.22/310,854.56
  6. Step 6: Final answer
    x = 283,262.10

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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.