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Finding the Fourth Proportional to 261,963.87, 393,274.13 and 210,020.19

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Solution

The fourth proportional to 261,963.87, 393,274.13 and 210,020.19 is: 315,293.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,963.87 : 393,274.13 = 210,020.19 : x
  2. Step 2: Convert to fraction form
    261,963.87/393,274.13 = 210,020.19/x
  3. Step 3: Cross multiply
    261,963.87x = 393,274.13 × 210,020.19
  4. Step 4: Simplify right side
    261,963.87x = 82,595,506,454.58
  5. Step 5: Solve for x
    x = 82,595,506,454.58/261,963.87
  6. Step 6: Final answer
    x = 315,293.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.