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Finding the Fourth Proportional to 411,391.83, 567,773.30 and 230,113.83

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Solution

The fourth proportional to 411,391.83, 567,773.30 and 230,113.83 is: 317,586.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,391.83 : 567,773.30 = 230,113.83 : x
  2. Step 2: Convert to fraction form
    411,391.83/567,773.30 = 230,113.83/x
  3. Step 3: Cross multiply
    411,391.83x = 567,773.30 × 230,113.83
  4. Step 4: Simplify right side
    411,391.83x = 130,652,489,210.02
  5. Step 5: Solve for x
    x = 130,652,489,210.02/411,391.83
  6. Step 6: Final answer
    x = 317,586.49

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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.