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Finding the Fourth Proportional to 306,714.30, 460,071.45 and 96,351.90

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Solution

The fourth proportional to 306,714.30, 460,071.45 and 96,351.90 is: 144,527.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,714.30 : 460,071.45 = 96,351.90 : x
  2. Step 2: Convert to fraction form
    306,714.30/460,071.45 = 96,351.90/x
  3. Step 3: Cross multiply
    306,714.30x = 460,071.45 × 96,351.90
  4. Step 4: Simplify right side
    306,714.30x = 44,328,758,343.26
  5. Step 5: Solve for x
    x = 44,328,758,343.26/306,714.30
  6. Step 6: Final answer
    x = 144,527.85

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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.