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Finding the Fourth Proportional to 410,702.76, 566,753.22 and 229,411.80

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Solution

The fourth proportional to 410,702.76, 566,753.22 and 229,411.80 is: 316,579.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,702.76 : 566,753.22 = 229,411.80 : x
  2. Step 2: Convert to fraction form
    410,702.76/566,753.22 = 229,411.80/x
  3. Step 3: Cross multiply
    410,702.76x = 566,753.22 × 229,411.80
  4. Step 4: Simplify right side
    410,702.76x = 130,019,876,356.00
  5. Step 5: Solve for x
    x = 130,019,876,356.00/410,702.76
  6. Step 6: Final answer
    x = 316,579.02

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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.