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Finding the Fourth Proportional to 410,952.24, 567,102.84 and 229,664.96

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Solution

The fourth proportional to 410,952.24, 567,102.84 and 229,664.96 is: 316,931.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,952.24 : 567,102.84 = 229,664.96 : x
  2. Step 2: Convert to fraction form
    410,952.24/567,102.84 = 229,664.96/x
  3. Step 3: Cross multiply
    410,952.24x = 567,102.84 × 229,664.96
  4. Step 4: Simplify right side
    410,952.24x = 130,243,651,064.49
  5. Step 5: Solve for x
    x = 130,243,651,064.49/410,952.24
  6. Step 6: Final answer
    x = 316,931.36

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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.