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Finding the Fourth Proportional to 649,995.80, 975,115.82 and 295,034.78

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Solution

The fourth proportional to 649,995.80, 975,115.82 and 295,034.78 is: 442,607.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,995.80 : 975,115.82 = 295,034.78 : x
  2. Step 2: Convert to fraction form
    649,995.80/975,115.82 = 295,034.78/x
  3. Step 3: Cross multiply
    649,995.80x = 975,115.82 × 295,034.78
  4. Step 4: Simplify right side
    649,995.80x = 287,693,081,428.22
  5. Step 5: Solve for x
    x = 287,693,081,428.22/649,995.80
  6. Step 6: Final answer
    x = 442,607.60

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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.