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Finding the Fourth Proportional to 417,083.22, 575,371.89 and 247,197.06

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Solution

The fourth proportional to 417,083.22, 575,371.89 and 247,197.06 is: 341,011.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,083.22 : 575,371.89 = 247,197.06 : x
  2. Step 2: Convert to fraction form
    417,083.22/575,371.89 = 247,197.06/x
  3. Step 3: Cross multiply
    417,083.22x = 575,371.89 × 247,197.06
  4. Step 4: Simplify right side
    417,083.22x = 142,230,239,614.64
  5. Step 5: Solve for x
    x = 142,230,239,614.64/417,083.22
  6. Step 6: Final answer
    x = 341,011.66

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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.