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Finding the Fourth Proportional to 557,118.16, 769,544.24 and 460,711.43

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Solution

The fourth proportional to 557,118.16, 769,544.24 and 460,711.43 is: 636,378.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,118.16 : 769,544.24 = 460,711.43 : x
  2. Step 2: Convert to fraction form
    557,118.16/769,544.24 = 460,711.43/x
  3. Step 3: Cross multiply
    557,118.16x = 769,544.24 × 460,711.43
  4. Step 4: Simplify right side
    557,118.16x = 354,537,823,410.94
  5. Step 5: Solve for x
    x = 354,537,823,410.94/557,118.16
  6. Step 6: Final answer
    x = 636,378.15

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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.