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Finding the Fourth Proportional to 500,963.46, 691,357.86 and 297,135.06

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Solution

The fourth proportional to 500,963.46, 691,357.86 and 297,135.06 is: 410,063.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,963.46 : 691,357.86 = 297,135.06 : x
  2. Step 2: Convert to fraction form
    500,963.46/691,357.86 = 297,135.06/x
  3. Step 3: Cross multiply
    500,963.46x = 691,357.86 × 297,135.06
  4. Step 4: Simplify right side
    500,963.46x = 205,426,659,212.57
  5. Step 5: Solve for x
    x = 205,426,659,212.57/500,963.46
  6. Step 6: Final answer
    x = 410,063.16

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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.