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Finding the Fourth Proportional to 306,710.10, 460,079.55 and 96,354.90

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Solution

The fourth proportional to 306,710.10, 460,079.55 and 96,354.90 is: 144,536.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,710.10 : 460,079.55 = 96,354.90 : x
  2. Step 2: Convert to fraction form
    306,710.10/460,079.55 = 96,354.90/x
  3. Step 3: Cross multiply
    306,710.10x = 460,079.55 × 96,354.90
  4. Step 4: Simplify right side
    306,710.10x = 44,330,919,032.30
  5. Step 5: Solve for x
    x = 44,330,919,032.30/306,710.10
  6. Step 6: Final answer
    x = 144,536.87

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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.