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Finding the Fourth Proportional to 410,304.63, 566,221.05 and 229,016.55

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Solution

The fourth proportional to 410,304.63, 566,221.05 and 229,016.55 is: 316,043.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,304.63 : 566,221.05 = 229,016.55 : x
  2. Step 2: Convert to fraction form
    410,304.63/566,221.05 = 229,016.55/x
  3. Step 3: Cross multiply
    410,304.63x = 566,221.05 × 229,016.55
  4. Step 4: Simplify right side
    410,304.63x = 129,673,991,408.38
  5. Step 5: Solve for x
    x = 129,673,991,408.38/410,304.63
  6. Step 6: Final answer
    x = 316,043.21

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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.