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Finding the Fourth Proportional to 410,476.60, 566,492.74 and 229,223.57

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Solution

The fourth proportional to 410,476.60, 566,492.74 and 229,223.57 is: 316,348.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,476.60 : 566,492.74 = 229,223.57 : x
  2. Step 2: Convert to fraction form
    410,476.60/566,492.74 = 229,223.57/x
  3. Step 3: Cross multiply
    410,476.60x = 566,492.74 × 229,223.57
  4. Step 4: Simplify right side
    410,476.60x = 129,853,488,241.88
  5. Step 5: Solve for x
    x = 129,853,488,241.88/410,476.60
  6. Step 6: Final answer
    x = 316,348.09

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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.