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Finding the Fourth Proportional to 537,065.87, 741,169.93 and 295,367.14

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Solution

The fourth proportional to 537,065.87, 741,169.93 and 295,367.14 is: 407,617.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,065.87 : 741,169.93 = 295,367.14 : x
  2. Step 2: Convert to fraction form
    537,065.87/741,169.93 = 295,367.14/x
  3. Step 3: Cross multiply
    537,065.87x = 741,169.93 × 295,367.14
  4. Step 4: Simplify right side
    537,065.87x = 218,917,238,772.25
  5. Step 5: Solve for x
    x = 218,917,238,772.25/537,065.87
  6. Step 6: Final answer
    x = 407,617.11

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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.