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Finding the Fourth Proportional to 306,731.40, 460,064.70 and 96,358.20

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Solution

The fourth proportional to 306,731.40, 460,064.70 and 96,358.20 is: 144,527.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,731.40 : 460,064.70 = 96,358.20 : x
  2. Step 2: Convert to fraction form
    306,731.40/460,064.70 = 96,358.20/x
  3. Step 3: Cross multiply
    306,731.40x = 460,064.70 × 96,358.20
  4. Step 4: Simplify right side
    306,731.40x = 44,331,006,375.54
  5. Step 5: Solve for x
    x = 44,331,006,375.54/306,731.40
  6. Step 6: Final answer
    x = 144,527.12

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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.