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Finding the Fourth Proportional to 410,665.56, 566,712.50 and 229,380.08

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Solution

The fourth proportional to 410,665.56, 566,712.50 and 229,380.08 is: 316,541.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,665.56 : 566,712.50 = 229,380.08 : x
  2. Step 2: Convert to fraction form
    410,665.56/566,712.50 = 229,380.08/x
  3. Step 3: Cross multiply
    410,665.56x = 566,712.50 × 229,380.08
  4. Step 4: Simplify right side
    410,665.56x = 129,992,558,587
  5. Step 5: Solve for x
    x = 129,992,558,587/410,665.56
  6. Step 6: Final answer
    x = 316,541.17

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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.