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Finding the Fourth Proportional to 310,923.30, 466,730.55 and 192,728.10

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Solution

The fourth proportional to 310,923.30, 466,730.55 and 192,728.10 is: 289,306.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,923.30 : 466,730.55 = 192,728.10 : x
  2. Step 2: Convert to fraction form
    310,923.30/466,730.55 = 192,728.10/x
  3. Step 3: Cross multiply
    310,923.30x = 466,730.55 × 192,728.10
  4. Step 4: Simplify right side
    310,923.30x = 89,952,092,113.46
  5. Step 5: Solve for x
    x = 89,952,092,113.46/310,923.30
  6. Step 6: Final answer
    x = 289,306.37

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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.