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Finding the Fourth Proportional to 647,951.87, 971,862.18 and 174,685.07

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Solution

The fourth proportional to 647,951.87, 971,862.18 and 174,685.07 is: 262,009.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,951.87 : 971,862.18 = 174,685.07 : x
  2. Step 2: Convert to fraction form
    647,951.87/971,862.18 = 174,685.07/x
  3. Step 3: Cross multiply
    647,951.87x = 971,862.18 × 174,685.07
  4. Step 4: Simplify right side
    647,951.87x = 169,769,812,943.65
  5. Step 5: Solve for x
    x = 169,769,812,943.65/647,951.87
  6. Step 6: Final answer
    x = 262,009.91

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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.