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Finding the Fourth Proportional to 417,167.82, 575,479.62 and 263,947.68

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Solution

The fourth proportional to 417,167.82, 575,479.62 and 263,947.68 is: 364,113.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,167.82 : 575,479.62 = 263,947.68 : x
  2. Step 2: Convert to fraction form
    417,167.82/575,479.62 = 263,947.68/x
  3. Step 3: Cross multiply
    417,167.82x = 575,479.62 × 263,947.68
  4. Step 4: Simplify right side
    417,167.82x = 151,896,510,586.28
  5. Step 5: Solve for x
    x = 151,896,510,586.28/417,167.82
  6. Step 6: Final answer
    x = 364,113.68

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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.