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Finding the Fourth Proportional to 310,096.46, 464,521.90 and 141,384.71

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Solution

The fourth proportional to 310,096.46, 464,521.90 and 141,384.71 is: 211,793.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,096.46 : 464,521.90 = 141,384.71 : x
  2. Step 2: Convert to fraction form
    310,096.46/464,521.90 = 141,384.71/x
  3. Step 3: Cross multiply
    310,096.46x = 464,521.90 × 141,384.71
  4. Step 4: Simplify right side
    310,096.46x = 65,676,294,120.15
  5. Step 5: Solve for x
    x = 65,676,294,120.15/310,096.46
  6. Step 6: Final answer
    x = 211,793.11

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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.