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Finding the Fourth Proportional to 411,389.86, 567,710.49 and 232,541.86

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Solution

The fourth proportional to 411,389.86, 567,710.49 and 232,541.86 is: 320,903.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,389.86 : 567,710.49 = 232,541.86 : x
  2. Step 2: Convert to fraction form
    411,389.86/567,710.49 = 232,541.86/x
  3. Step 3: Cross multiply
    411,389.86x = 567,710.49 × 232,541.86
  4. Step 4: Simplify right side
    411,389.86x = 132,016,453,286.11
  5. Step 5: Solve for x
    x = 132,016,453,286.11/411,389.86
  6. Step 6: Final answer
    x = 320,903.52

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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.