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Finding the Fourth Proportional to 649,374.80, 974,062.20 and 295,080.80

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Solution

The fourth proportional to 649,374.80, 974,062.20 and 295,080.80 is: 442,621.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,374.80 : 974,062.20 = 295,080.80 : x
  2. Step 2: Convert to fraction form
    649,374.80/974,062.20 = 295,080.80/x
  3. Step 3: Cross multiply
    649,374.80x = 974,062.20 × 295,080.80
  4. Step 4: Simplify right side
    649,374.80x = 287,427,053,225.76
  5. Step 5: Solve for x
    x = 287,427,053,225.76/649,374.80
  6. Step 6: Final answer
    x = 442,621.20

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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.