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Finding the Fourth Proportional to 280,278.40, 420,417.60 and 83,286.40

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Solution

The fourth proportional to 280,278.40, 420,417.60 and 83,286.40 is: 124,929.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,278.40 : 420,417.60 = 83,286.40 : x
  2. Step 2: Convert to fraction form
    280,278.40/420,417.60 = 83,286.40/x
  3. Step 3: Cross multiply
    280,278.40x = 420,417.60 × 83,286.40
  4. Step 4: Simplify right side
    280,278.40x = 35,015,068,400.64
  5. Step 5: Solve for x
    x = 35,015,068,400.64/280,278.40
  6. Step 6: Final answer
    x = 124,929.60

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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.