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Finding the Fourth Proportional to 295,295.80, 442,943.70 and 205,094.20

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Solution

The fourth proportional to 295,295.80, 442,943.70 and 205,094.20 is: 307,641.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,295.80 : 442,943.70 = 205,094.20 : x
  2. Step 2: Convert to fraction form
    295,295.80/442,943.70 = 205,094.20/x
  3. Step 3: Cross multiply
    295,295.80x = 442,943.70 × 205,094.20
  4. Step 4: Simplify right side
    295,295.80x = 90,845,183,796.54
  5. Step 5: Solve for x
    x = 90,845,183,796.54/295,295.80
  6. Step 6: Final answer
    x = 307,641.30

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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.