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Finding the Fourth Proportional to 306,829.01, 460,315.96 and 96,466.95

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Solution

The fourth proportional to 306,829.01, 460,315.96 and 96,466.95 is: 144,723.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,829.01 : 460,315.96 = 96,466.95 : x
  2. Step 2: Convert to fraction form
    306,829.01/460,315.96 = 96,466.95/x
  3. Step 3: Cross multiply
    306,829.01x = 460,315.96 × 96,466.95
  4. Step 4: Simplify right side
    306,829.01x = 44,405,276,456.35
  5. Step 5: Solve for x
    x = 44,405,276,456.35/306,829.01
  6. Step 6: Final answer
    x = 144,723.20

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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.