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Finding the Fourth Proportional to 288,010.80, 402,282 and 288,010.80

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Solution

The fourth proportional to 288,010.80, 402,282 and 288,010.80 is: 402,282

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,010.80 : 402,282 = 288,010.80 : x
  2. Step 2: Convert to fraction form
    288,010.80/402,282 = 288,010.80/x
  3. Step 3: Cross multiply
    288,010.80x = 402,282 × 288,010.80
  4. Step 4: Simplify right side
    288,010.80x = 115,861,560,645.60
  5. Step 5: Solve for x
    x = 115,861,560,645.60/288,010.80
  6. Step 6: Final answer
    x = 402,282

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.