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Finding the Fourth Proportional to 280,627.60, 420,941.40 and 83,635.60

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Solution

The fourth proportional to 280,627.60, 420,941.40 and 83,635.60 is: 125,453.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,627.60 : 420,941.40 = 83,635.60 : x
  2. Step 2: Convert to fraction form
    280,627.60/420,941.40 = 83,635.60/x
  3. Step 3: Cross multiply
    280,627.60x = 420,941.40 × 83,635.60
  4. Step 4: Simplify right side
    280,627.60x = 35,205,686,553.84
  5. Step 5: Solve for x
    x = 35,205,686,553.84/280,627.60
  6. Step 6: Final answer
    x = 125,453.40

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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.