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Finding the Fourth Proportional to 410,469.76, 566,442.88 and 229,184.77

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Solution

The fourth proportional to 410,469.76, 566,442.88 and 229,184.77 is: 316,271.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,469.76 : 566,442.88 = 229,184.77 : x
  2. Step 2: Convert to fraction form
    410,469.76/566,442.88 = 229,184.77/x
  3. Step 3: Cross multiply
    410,469.76x = 566,442.88 × 229,184.77
  4. Step 4: Simplify right side
    410,469.76x = 129,820,081,170.94
  5. Step 5: Solve for x
    x = 129,820,081,170.94/410,469.76
  6. Step 6: Final answer
    x = 316,271.97

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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.