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Finding the Fourth Proportional to 310,097.46, 464,523.40 and 141,385.71

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Solution

The fourth proportional to 310,097.46, 464,523.40 and 141,385.71 is: 211,794.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,097.46 : 464,523.40 = 141,385.71 : x
  2. Step 2: Convert to fraction form
    310,097.46/464,523.40 = 141,385.71/x
  3. Step 3: Cross multiply
    310,097.46x = 464,523.40 × 141,385.71
  4. Step 4: Simplify right side
    310,097.46x = 65,676,970,720.61
  5. Step 5: Solve for x
    x = 65,676,970,720.61/310,097.46
  6. Step 6: Final answer
    x = 211,794.61

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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.