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Finding the Fourth Proportional to 232,002.60, 348,003.90 and 205,564.20

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Solution

The fourth proportional to 232,002.60, 348,003.90 and 205,564.20 is: 308,346.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,002.60 : 348,003.90 = 205,564.20 : x
  2. Step 2: Convert to fraction form
    232,002.60/348,003.90 = 205,564.20/x
  3. Step 3: Cross multiply
    232,002.60x = 348,003.90 × 205,564.20
  4. Step 4: Simplify right side
    232,002.60x = 71,537,143,300.38
  5. Step 5: Solve for x
    x = 71,537,143,300.38/232,002.60
  6. Step 6: Final answer
    x = 308,346.30

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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.