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Finding the Fourth Proportional to 310,920.80, 466,381.20 and 277,095.20

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Solution

The fourth proportional to 310,920.80, 466,381.20 and 277,095.20 is: 415,642.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,920.80 : 466,381.20 = 277,095.20 : x
  2. Step 2: Convert to fraction form
    310,920.80/466,381.20 = 277,095.20/x
  3. Step 3: Cross multiply
    310,920.80x = 466,381.20 × 277,095.20
  4. Step 4: Simplify right side
    310,920.80x = 129,231,991,890.24
  5. Step 5: Solve for x
    x = 129,231,991,890.24/310,920.80
  6. Step 6: Final answer
    x = 415,642.80

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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.