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Finding the Fourth Proportional to 413,929, 571,222.74 and 235,081

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Solution

The fourth proportional to 413,929, 571,222.74 and 235,081 is: 324,412.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,929 : 571,222.74 = 235,081 : x
  2. Step 2: Convert to fraction form
    413,929/571,222.74 = 235,081/x
  3. Step 3: Cross multiply
    413,929x = 571,222.74 × 235,081
  4. Step 4: Simplify right side
    413,929x = 134,283,612,941.94
  5. Step 5: Solve for x
    x = 134,283,612,941.94/413,929
  6. Step 6: Final answer
    x = 324,412.19

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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.