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Finding the Fourth Proportional to 413,833.88, 571,072.36 and 241,767.80

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Solution

The fourth proportional to 413,833.88, 571,072.36 and 241,767.80 is: 333,628.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,833.88 : 571,072.36 = 241,767.80 : x
  2. Step 2: Convert to fraction form
    413,833.88/571,072.36 = 241,767.80/x
  3. Step 3: Cross multiply
    413,833.88x = 571,072.36 × 241,767.80
  4. Step 4: Simplify right side
    413,833.88x = 138,066,908,118.01
  5. Step 5: Solve for x
    x = 138,066,908,118.01/413,833.88
  6. Step 6: Final answer
    x = 333,628.82

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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.