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Finding the Fourth Proportional to 299,348.16, 449,100.08 and 149,582.40

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Solution

The fourth proportional to 299,348.16, 449,100.08 and 149,582.40 is: 224,412.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,348.16 : 449,100.08 = 149,582.40 : x
  2. Step 2: Convert to fraction form
    299,348.16/449,100.08 = 149,582.40/x
  3. Step 3: Cross multiply
    299,348.16x = 449,100.08 × 149,582.40
  4. Step 4: Simplify right side
    299,348.16x = 67,177,467,806.59
  5. Step 5: Solve for x
    x = 67,177,467,806.59/299,348.16
  6. Step 6: Final answer
    x = 224,412.50

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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.