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Finding the Fourth Proportional to 476,279.28, 657,298.26 and 314,854.38

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Solution

The fourth proportional to 476,279.28, 657,298.26 and 314,854.38 is: 434,520.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,279.28 : 657,298.26 = 314,854.38 : x
  2. Step 2: Convert to fraction form
    476,279.28/657,298.26 = 314,854.38/x
  3. Step 3: Cross multiply
    476,279.28x = 657,298.26 × 314,854.38
  4. Step 4: Simplify right side
    476,279.28x = 206,953,236,127.38
  5. Step 5: Solve for x
    x = 206,953,236,127.38/476,279.28
  6. Step 6: Final answer
    x = 434,520.76

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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.