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Finding the Fourth Proportional to 411,550, 567,961.06 and 230,251.12

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Solution

The fourth proportional to 411,550, 567,961.06 and 230,251.12 is: 317,758.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,550 : 567,961.06 = 230,251.12 : x
  2. Step 2: Convert to fraction form
    411,550/567,961.06 = 230,251.12/x
  3. Step 3: Cross multiply
    411,550x = 567,961.06 × 230,251.12
  4. Step 4: Simplify right side
    411,550x = 130,773,670,181.39
  5. Step 5: Solve for x
    x = 130,773,670,181.39/411,550
  6. Step 6: Final answer
    x = 317,758.89

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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.