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Finding the Fourth Proportional to 565,382.64, 780,195.06 and 310,734.03

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Solution

The fourth proportional to 565,382.64, 780,195.06 and 310,734.03 is: 428,794.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,382.64 : 780,195.06 = 310,734.03 : x
  2. Step 2: Convert to fraction form
    565,382.64/780,195.06 = 310,734.03/x
  3. Step 3: Cross multiply
    565,382.64x = 780,195.06 × 310,734.03
  4. Step 4: Simplify right side
    565,382.64x = 242,433,155,179.89
  5. Step 5: Solve for x
    x = 242,433,155,179.89/565,382.64
  6. Step 6: Final answer
    x = 428,794.83

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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.