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Finding the Fourth Proportional to 525,663, 725,414.94 and 287,199

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Solution

The fourth proportional to 525,663, 725,414.94 and 287,199 is: 396,334.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,663 : 725,414.94 = 287,199 : x
  2. Step 2: Convert to fraction form
    525,663/725,414.94 = 287,199/x
  3. Step 3: Cross multiply
    525,663x = 725,414.94 × 287,199
  4. Step 4: Simplify right side
    525,663x = 208,338,445,353.06
  5. Step 5: Solve for x
    x = 208,338,445,353.06/525,663
  6. Step 6: Final answer
    x = 396,334.62

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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.