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Finding the Fourth Proportional to 413,886.81, 571,165.92 and 241,814.56

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Solution

The fourth proportional to 413,886.81, 571,165.92 and 241,814.56 is: 333,705.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,886.81 : 571,165.92 = 241,814.56 : x
  2. Step 2: Convert to fraction form
    413,886.81/571,165.92 = 241,814.56/x
  3. Step 3: Cross multiply
    413,886.81x = 571,165.92 × 241,814.56
  4. Step 4: Simplify right side
    413,886.81x = 138,116,235,631.80
  5. Step 5: Solve for x
    x = 138,116,235,631.80/413,886.81
  6. Step 6: Final answer
    x = 333,705.33

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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.