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Finding the Fourth Proportional to 410,559.39, 566,560.92 and 229,266.27

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Solution

The fourth proportional to 410,559.39, 566,560.92 and 229,266.27 is: 316,381.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,559.39 : 566,560.92 = 229,266.27 : x
  2. Step 2: Convert to fraction form
    410,559.39/566,560.92 = 229,266.27/x
  3. Step 3: Cross multiply
    410,559.39x = 566,560.92 × 229,266.27
  4. Step 4: Simplify right side
    410,559.39x = 129,893,308,856.17
  5. Step 5: Solve for x
    x = 129,893,308,856.17/410,559.39
  6. Step 6: Final answer
    x = 316,381.29

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1.5x scale

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.