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Finding the Fourth Proportional to 310,915.23, 466,367.61 and 140,041.89

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Solution

The fourth proportional to 310,915.23, 466,367.61 and 140,041.89 is: 210,060.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,915.23 : 466,367.61 = 140,041.89 : x
  2. Step 2: Convert to fraction form
    310,915.23/466,367.61 = 140,041.89/x
  3. Step 3: Cross multiply
    310,915.23x = 466,367.61 × 140,041.89
  4. Step 4: Simplify right side
    310,915.23x = 65,311,002,064.34
  5. Step 5: Solve for x
    x = 65,311,002,064.34/310,915.23
  6. Step 6: Final answer
    x = 210,060.48

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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.