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Finding the Fourth Proportional to 543,895.29, 750,531.50 and 314,467.31

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Solution

The fourth proportional to 543,895.29, 750,531.50 and 314,467.31 is: 433,939.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,895.29 : 750,531.50 = 314,467.31 : x
  2. Step 2: Convert to fraction form
    543,895.29/750,531.50 = 314,467.31/x
  3. Step 3: Cross multiply
    543,895.29x = 750,531.50 × 314,467.31
  4. Step 4: Simplify right side
    543,895.29x = 236,017,616,550.27
  5. Step 5: Solve for x
    x = 236,017,616,550.27/543,895.29
  6. Step 6: Final answer
    x = 433,939.44

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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.