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Finding the Fourth Proportional to 297,693, 410,822.82 and 163,557

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Solution

The fourth proportional to 297,693, 410,822.82 and 163,557 is: 225,712.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,693 : 410,822.82 = 163,557 : x
  2. Step 2: Convert to fraction form
    297,693/410,822.82 = 163,557/x
  3. Step 3: Cross multiply
    297,693x = 410,822.82 × 163,557
  4. Step 4: Simplify right side
    297,693x = 67,192,947,970.74
  5. Step 5: Solve for x
    x = 67,192,947,970.74/297,693
  6. Step 6: Final answer
    x = 225,712.22

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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.