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Finding the Fourth Proportional to 411,416.73, 567,807.62 and 230,138.73

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Solution

The fourth proportional to 411,416.73, 567,807.62 and 230,138.73 is: 317,620.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,416.73 : 567,807.62 = 230,138.73 : x
  2. Step 2: Convert to fraction form
    411,416.73/567,807.62 = 230,138.73/x
  3. Step 3: Cross multiply
    411,416.73x = 567,807.62 × 230,138.73
  4. Step 4: Simplify right side
    411,416.73x = 130,674,524,551.12
  5. Step 5: Solve for x
    x = 130,674,524,551.12/411,416.73
  6. Step 6: Final answer
    x = 317,620.83

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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.