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Finding the Fourth Proportional to 416,686.53, 575,022.38 and 253,288.92

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Solution

The fourth proportional to 416,686.53, 575,022.38 and 253,288.92 is: 349,535.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,686.53 : 575,022.38 = 253,288.92 : x
  2. Step 2: Convert to fraction form
    416,686.53/575,022.38 = 253,288.92/x
  3. Step 3: Cross multiply
    416,686.53x = 575,022.38 × 253,288.92
  4. Step 4: Simplify right side
    416,686.53x = 145,646,796,339.59
  5. Step 5: Solve for x
    x = 145,646,796,339.59/416,686.53
  6. Step 6: Final answer
    x = 349,535.65

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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.