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Finding the Fourth Proportional to 411,546.99, 567,956.93 and 230,248.11

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Solution

The fourth proportional to 411,546.99, 567,956.93 and 230,248.11 is: 317,754.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,546.99 : 567,956.93 = 230,248.11 : x
  2. Step 2: Convert to fraction form
    411,546.99/567,956.93 = 230,248.11/x
  3. Step 3: Cross multiply
    411,546.99x = 567,956.93 × 230,248.11
  4. Step 4: Simplify right side
    411,546.99x = 130,771,008,542.66
  5. Step 5: Solve for x
    x = 130,771,008,542.66/411,546.99
  6. Step 6: Final answer
    x = 317,754.74

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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.