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Finding the Fourth Proportional to 552,643.50, 762,648.04 and 314,179.50

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Solution

The fourth proportional to 552,643.50, 762,648.04 and 314,179.50 is: 433,567.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,643.50 : 762,648.04 = 314,179.50 : x
  2. Step 2: Convert to fraction form
    552,643.50/762,648.04 = 314,179.50/x
  3. Step 3: Cross multiply
    552,643.50x = 762,648.04 × 314,179.50
  4. Step 4: Simplify right side
    552,643.50x = 239,608,379,883.18
  5. Step 5: Solve for x
    x = 239,608,379,883.18/552,643.50
  6. Step 6: Final answer
    x = 433,567.72

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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.