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Finding the Fourth Proportional to 565,107.13, 779,834.31 and 323,374.26

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Solution

The fourth proportional to 565,107.13, 779,834.31 and 323,374.26 is: 446,248.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,107.13 : 779,834.31 = 323,374.26 : x
  2. Step 2: Convert to fraction form
    565,107.13/779,834.31 = 323,374.26/x
  3. Step 3: Cross multiply
    565,107.13x = 779,834.31 × 323,374.26
  4. Step 4: Simplify right side
    565,107.13x = 252,178,344,443.43
  5. Step 5: Solve for x
    x = 252,178,344,443.43/565,107.13
  6. Step 6: Final answer
    x = 446,248.74

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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.