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Finding the Fourth Proportional to 310,096.97, 464,522.64 and 141,385.22

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Solution

The fourth proportional to 310,096.97, 464,522.64 and 141,385.22 is: 211,793.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,096.97 : 464,522.64 = 141,385.22 : x
  2. Step 2: Convert to fraction form
    310,096.97/464,522.64 = 141,385.22/x
  3. Step 3: Cross multiply
    310,096.97x = 464,522.64 × 141,385.22
  4. Step 4: Simplify right side
    310,096.97x = 65,676,633,328.77
  5. Step 5: Solve for x
    x = 65,676,633,328.77/310,096.97
  6. Step 6: Final answer
    x = 211,793.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.