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Finding the Fourth Proportional to 280,280.40, 420,420.60 and 83,288.40

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Solution

The fourth proportional to 280,280.40, 420,420.60 and 83,288.40 is: 124,932.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,280.40 : 420,420.60 = 83,288.40 : x
  2. Step 2: Convert to fraction form
    280,280.40/420,420.60 = 83,288.40/x
  3. Step 3: Cross multiply
    280,280.40x = 420,420.60 × 83,288.40
  4. Step 4: Simplify right side
    280,280.40x = 35,016,159,101.04
  5. Step 5: Solve for x
    x = 35,016,159,101.04/280,280.40
  6. Step 6: Final answer
    x = 124,932.60

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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.