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Finding the Fourth Proportional to 408,652.88, 563,935.56 and 229,804.88

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Solution

The fourth proportional to 408,652.88, 563,935.56 and 229,804.88 is: 317,127.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,652.88 : 563,935.56 = 229,804.88 : x
  2. Step 2: Convert to fraction form
    408,652.88/563,935.56 = 229,804.88/x
  3. Step 3: Cross multiply
    408,652.88x = 563,935.56 × 229,804.88
  4. Step 4: Simplify right side
    408,652.88x = 129,595,143,693.53
  5. Step 5: Solve for x
    x = 129,595,143,693.53/408,652.88
  6. Step 6: Final answer
    x = 317,127.69

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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.