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Finding the Fourth Proportional to 413,831.38, 571,068.91 and 241,765.30

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Solution

The fourth proportional to 413,831.38, 571,068.91 and 241,765.30 is: 333,625.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,831.38 : 571,068.91 = 241,765.30 : x
  2. Step 2: Convert to fraction form
    413,831.38/571,068.91 = 241,765.30/x
  3. Step 3: Cross multiply
    413,831.38x = 571,068.91 × 241,765.30
  4. Step 4: Simplify right side
    413,831.38x = 138,064,646,346.82
  5. Step 5: Solve for x
    x = 138,064,646,346.82/413,831.38
  6. Step 6: Final answer
    x = 333,625.37

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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.