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Finding the Fourth Proportional to 410,579.28, 566,594.06 and 229,294.53

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Solution

The fourth proportional to 410,579.28, 566,594.06 and 229,294.53 is: 316,423.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,579.28 : 566,594.06 = 229,294.53 : x
  2. Step 2: Convert to fraction form
    410,579.28/566,594.06 = 229,294.53/x
  3. Step 3: Cross multiply
    410,579.28x = 566,594.06 × 229,294.53
  4. Step 4: Simplify right side
    410,579.28x = 129,916,917,542.02
  5. Step 5: Solve for x
    x = 129,916,917,542.02/410,579.28
  6. Step 6: Final answer
    x = 316,423.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.