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Finding the Fourth Proportional to 415,677.57, 573,586.29 and 234,378.70

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Solution

The fourth proportional to 415,677.57, 573,586.29 and 234,378.70 is: 323,415.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,677.57 : 573,586.29 = 234,378.70 : x
  2. Step 2: Convert to fraction form
    415,677.57/573,586.29 = 234,378.70/x
  3. Step 3: Cross multiply
    415,677.57x = 573,586.29 × 234,378.70
  4. Step 4: Simplify right side
    415,677.57x = 134,436,408,988.02
  5. Step 5: Solve for x
    x = 134,436,408,988.02/415,677.57
  6. Step 6: Final answer
    x = 323,415.11

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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.