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Finding the Fourth Proportional to 378,522.30, 567,301.05 and 201,114.30

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Solution

The fourth proportional to 378,522.30, 567,301.05 and 201,114.30 is: 301,415.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,522.30 : 567,301.05 = 201,114.30 : x
  2. Step 2: Convert to fraction form
    378,522.30/567,301.05 = 201,114.30/x
  3. Step 3: Cross multiply
    378,522.30x = 567,301.05 × 201,114.30
  4. Step 4: Simplify right side
    378,522.30x = 114,092,353,560.02
  5. Step 5: Solve for x
    x = 114,092,353,560.02/378,522.30
  6. Step 6: Final answer
    x = 301,415.14

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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.