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Finding the Fourth Proportional to 306,720.30, 460,080.45 and 96,357.90

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Solution

The fourth proportional to 306,720.30, 460,080.45 and 96,357.90 is: 144,536.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,720.30 : 460,080.45 = 96,357.90 : x
  2. Step 2: Convert to fraction form
    306,720.30/460,080.45 = 96,357.90/x
  3. Step 3: Cross multiply
    306,720.30x = 460,080.45 × 96,357.90
  4. Step 4: Simplify right side
    306,720.30x = 44,332,385,993.06
  5. Step 5: Solve for x
    x = 44,332,385,993.06/306,720.30
  6. Step 6: Final answer
    x = 144,536.85

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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.