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Finding the Fourth Proportional to 284,348.97, 426,851.50 and 144,402.84

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Solution

The fourth proportional to 284,348.97, 426,851.50 and 144,402.84 is: 216,770.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,348.97 : 426,851.50 = 144,402.84 : x
  2. Step 2: Convert to fraction form
    284,348.97/426,851.50 = 144,402.84/x
  3. Step 3: Cross multiply
    284,348.97x = 426,851.50 × 144,402.84
  4. Step 4: Simplify right side
    284,348.97x = 61,638,568,858.26
  5. Step 5: Solve for x
    x = 61,638,568,858.26/284,348.97
  6. Step 6: Final answer
    x = 216,770.85

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1.5x scale

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.