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Finding the Fourth Proportional to 280,628.10, 420,942.15 and 83,636.10

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Solution

The fourth proportional to 280,628.10, 420,942.15 and 83,636.10 is: 125,454.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,628.10 : 420,942.15 = 83,636.10 : x
  2. Step 2: Convert to fraction form
    280,628.10/420,942.15 = 83,636.10/x
  3. Step 3: Cross multiply
    280,628.10x = 420,942.15 × 83,636.10
  4. Step 4: Simplify right side
    280,628.10x = 35,205,959,751.62
  5. Step 5: Solve for x
    x = 35,205,959,751.62/280,628.10
  6. Step 6: Final answer
    x = 125,454.15

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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.