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Finding the Fourth Proportional to 288,878.48, 398,752.50 and 198,533.52

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Solution

The fourth proportional to 288,878.48, 398,752.50 and 198,533.52 is: 274,045.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,878.48 : 398,752.50 = 198,533.52 : x
  2. Step 2: Convert to fraction form
    288,878.48/398,752.50 = 198,533.52/x
  3. Step 3: Cross multiply
    288,878.48x = 398,752.50 × 198,533.52
  4. Step 4: Simplify right side
    288,878.48x = 79,165,737,433.80
  5. Step 5: Solve for x
    x = 79,165,737,433.80/288,878.48
  6. Step 6: Final answer
    x = 274,045.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.