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Finding the Fourth Proportional to 299,470.53, 448,938.06 and 109,886.91

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Solution

The fourth proportional to 299,470.53, 448,938.06 and 109,886.91 is: 164,732.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,470.53 : 448,938.06 = 109,886.91 : x
  2. Step 2: Convert to fraction form
    299,470.53/448,938.06 = 109,886.91/x
  3. Step 3: Cross multiply
    299,470.53x = 448,938.06 × 109,886.91
  4. Step 4: Simplify right side
    299,470.53x = 49,332,416,194.79
  5. Step 5: Solve for x
    x = 49,332,416,194.79/299,470.53
  6. Step 6: Final answer
    x = 164,732.12

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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.