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Finding the Fourth Proportional to 252,002.40, 380,337 and 252,002.40

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Solution

The fourth proportional to 252,002.40, 380,337 and 252,002.40 is: 380,337

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,002.40 : 380,337 = 252,002.40 : x
  2. Step 2: Convert to fraction form
    252,002.40/380,337 = 252,002.40/x
  3. Step 3: Cross multiply
    252,002.40x = 380,337 × 252,002.40
  4. Step 4: Simplify right side
    252,002.40x = 95,845,836,808.80
  5. Step 5: Solve for x
    x = 95,845,836,808.80/252,002.40
  6. Step 6: Final answer
    x = 380,337

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.