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Finding the Fourth Proportional to 306,824.97, 460,309.90 and 96,462.90

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Solution

The fourth proportional to 306,824.97, 460,309.90 and 96,462.90 is: 144,717.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,824.97 : 460,309.90 = 96,462.90 : x
  2. Step 2: Convert to fraction form
    306,824.97/460,309.90 = 96,462.90/x
  3. Step 3: Cross multiply
    306,824.97x = 460,309.90 × 96,462.90
  4. Step 4: Simplify right side
    306,824.97x = 44,402,828,929.44
  5. Step 5: Solve for x
    x = 44,402,828,929.44/306,824.97
  6. Step 6: Final answer
    x = 144,717.13

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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.