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Finding the Fourth Proportional to 411,442.96, 567,764.61 and 230,123.51

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Solution

The fourth proportional to 411,442.96, 567,764.61 and 230,123.51 is: 317,555.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,442.96 : 567,764.61 = 230,123.51 : x
  2. Step 2: Convert to fraction form
    411,442.96/567,764.61 = 230,123.51/x
  3. Step 3: Cross multiply
    411,442.96x = 567,764.61 × 230,123.51
  4. Step 4: Simplify right side
    411,442.96x = 130,655,984,906.98
  5. Step 5: Solve for x
    x = 130,655,984,906.98/411,442.96
  6. Step 6: Final answer
    x = 317,555.53

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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.