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Finding the Fourth Proportional to 565,488.38, 780,373.96 and 323,850.90

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Solution

The fourth proportional to 565,488.38, 780,373.96 and 323,850.90 is: 446,914.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,488.38 : 780,373.96 = 323,850.90 : x
  2. Step 2: Convert to fraction form
    565,488.38/780,373.96 = 323,850.90/x
  3. Step 3: Cross multiply
    565,488.38x = 780,373.96 × 323,850.90
  4. Step 4: Simplify right side
    565,488.38x = 252,724,805,546.53
  5. Step 5: Solve for x
    x = 252,724,805,546.53/565,488.38
  6. Step 6: Final answer
    x = 446,914.24

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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.