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Finding the Fourth Proportional to 410,508.72, 566,511.64 and 229,214.52

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Solution

The fourth proportional to 410,508.72, 566,511.64 and 229,214.52 is: 316,321.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,508.72 : 566,511.64 = 229,214.52 : x
  2. Step 2: Convert to fraction form
    410,508.72/566,511.64 = 229,214.52/x
  3. Step 3: Cross multiply
    410,508.72x = 566,511.64 × 229,214.52
  4. Step 4: Simplify right side
    410,508.72x = 129,852,693,637.01
  5. Step 5: Solve for x
    x = 129,852,693,637.01/410,508.72
  6. Step 6: Final answer
    x = 316,321.40

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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.