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Finding the Fourth Proportional to 301,843.14, 452,414.76 and 284,347.14

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Solution

The fourth proportional to 301,843.14, 452,414.76 and 284,347.14 is: 426,191.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,843.14 : 452,414.76 = 284,347.14 : x
  2. Step 2: Convert to fraction form
    301,843.14/452,414.76 = 284,347.14/x
  3. Step 3: Cross multiply
    301,843.14x = 452,414.76 × 284,347.14
  4. Step 4: Simplify right side
    301,843.14x = 128,642,843,099.79
  5. Step 5: Solve for x
    x = 128,642,843,099.79/301,843.14
  6. Step 6: Final answer
    x = 426,191.04

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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.