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Finding the Fourth Proportional to 565,519.41, 780,397 and 310,868.78

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Solution

The fourth proportional to 565,519.41, 780,397 and 310,868.78 is: 428,988.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,519.41 : 780,397 = 310,868.78 : x
  2. Step 2: Convert to fraction form
    565,519.41/780,397 = 310,868.78/x
  3. Step 3: Cross multiply
    565,519.41x = 780,397 × 310,868.78
  4. Step 4: Simplify right side
    565,519.41x = 242,601,063,305.66
  5. Step 5: Solve for x
    x = 242,601,063,305.66/565,519.41
  6. Step 6: Final answer
    x = 428,988.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.