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Finding the Fourth Proportional to 408,455.24, 563,663.22 and 229,607.24

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Solution

The fourth proportional to 408,455.24, 563,663.22 and 229,607.24 is: 316,855.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,455.24 : 563,663.22 = 229,607.24 : x
  2. Step 2: Convert to fraction form
    408,455.24/563,663.22 = 229,607.24/x
  3. Step 3: Cross multiply
    408,455.24x = 563,663.22 × 229,607.24
  4. Step 4: Simplify right side
    408,455.24x = 129,421,156,233.71
  5. Step 5: Solve for x
    x = 129,421,156,233.71/408,455.24
  6. Step 6: Final answer
    x = 316,855.17

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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.