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Finding the Fourth Proportional to 349,326.40, 523,989.60 and 200,027.20

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Solution

The fourth proportional to 349,326.40, 523,989.60 and 200,027.20 is: 300,040.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,326.40 : 523,989.60 = 200,027.20 : x
  2. Step 2: Convert to fraction form
    349,326.40/523,989.60 = 200,027.20/x
  3. Step 3: Cross multiply
    349,326.40x = 523,989.60 × 200,027.20
  4. Step 4: Simplify right side
    349,326.40x = 104,812,172,517.12
  5. Step 5: Solve for x
    x = 104,812,172,517.12/349,326.40
  6. Step 6: Final answer
    x = 300,040.80

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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.