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Finding the Fourth Proportional to 727,382.76, 1,003,910.36 and 421,650.39

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Solution

The fourth proportional to 727,382.76, 1,003,910.36 and 421,650.39 is: 581,948.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,382.76 : 1,003,910.36 = 421,650.39 : x
  2. Step 2: Convert to fraction form
    727,382.76/1,003,910.36 = 421,650.39/x
  3. Step 3: Cross multiply
    727,382.76x = 1,003,910.36 × 421,650.39
  4. Step 4: Simplify right side
    727,382.76x = 423,299,194,819.04
  5. Step 5: Solve for x
    x = 423,299,194,819.04/727,382.76
  6. Step 6: Final answer
    x = 581,948.35

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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.