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Finding the Fourth Proportional to 649,994.80, 975,114.31 and 295,033.77

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Solution

The fourth proportional to 649,994.80, 975,114.31 and 295,033.77 is: 442,606.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,994.80 : 975,114.31 = 295,033.77 : x
  2. Step 2: Convert to fraction form
    649,994.80/975,114.31 = 295,033.77/x
  3. Step 3: Cross multiply
    649,994.80x = 975,114.31 × 295,033.77
  4. Step 4: Simplify right side
    649,994.80x = 287,691,651,060.25
  5. Step 5: Solve for x
    x = 287,691,651,060.25/649,994.80
  6. Step 6: Final answer
    x = 442,606.08

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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.