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Finding the Fourth Proportional to 680,041.68, 1,020,063.20 and 253,571

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Solution

The fourth proportional to 680,041.68, 1,020,063.20 and 253,571 is: 380,356.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,041.68 : 1,020,063.20 = 253,571 : x
  2. Step 2: Convert to fraction form
    680,041.68/1,020,063.20 = 253,571/x
  3. Step 3: Cross multiply
    680,041.68x = 1,020,063.20 × 253,571
  4. Step 4: Simplify right side
    680,041.68x = 258,658,445,687.20
  5. Step 5: Solve for x
    x = 258,658,445,687.20/680,041.68
  6. Step 6: Final answer
    x = 380,356.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.