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Finding the Fourth Proportional to 287,574.80, 431,362.20 and 243,288.05

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Solution

The fourth proportional to 287,574.80, 431,362.20 and 243,288.05 is: 364,932.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,574.80 : 431,362.20 = 243,288.05 : x
  2. Step 2: Convert to fraction form
    287,574.80/431,362.20 = 243,288.05/x
  3. Step 3: Cross multiply
    287,574.80x = 431,362.20 × 243,288.05
  4. Step 4: Simplify right side
    287,574.80x = 104,945,268,481.71
  5. Step 5: Solve for x
    x = 104,945,268,481.71/287,574.80
  6. Step 6: Final answer
    x = 364,932.08

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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.