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Finding the Fourth Proportional to 310,913.80, 466,716.30 and 192,718.60

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Solution

The fourth proportional to 310,913.80, 466,716.30 and 192,718.60 is: 289,292.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,913.80 : 466,716.30 = 192,718.60 : x
  2. Step 2: Convert to fraction form
    310,913.80/466,716.30 = 192,718.60/x
  3. Step 3: Cross multiply
    310,913.80x = 466,716.30 × 192,718.60
  4. Step 4: Simplify right side
    310,913.80x = 89,944,911,933.18
  5. Step 5: Solve for x
    x = 89,944,911,933.18/310,913.80
  6. Step 6: Final answer
    x = 289,292.12

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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.