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Finding the Fourth Proportional to 298,295.84, 447,513.84 and 98,616.24

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Solution

The fourth proportional to 298,295.84, 447,513.84 and 98,616.24 is: 147,947.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,295.84 : 447,513.84 = 98,616.24 : x
  2. Step 2: Convert to fraction form
    298,295.84/447,513.84 = 98,616.24/x
  3. Step 3: Cross multiply
    298,295.84x = 447,513.84 × 98,616.24
  4. Step 4: Simplify right side
    298,295.84x = 44,132,132,248.76
  5. Step 5: Solve for x
    x = 44,132,132,248.76/298,295.84
  6. Step 6: Final answer
    x = 147,947.53

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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.