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Finding the Fourth Proportional to 287,464.38, 396,488.32 and 210,957.63

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Solution

The fourth proportional to 287,464.38, 396,488.32 and 210,957.63 is: 290,965.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,464.38 : 396,488.32 = 210,957.63 : x
  2. Step 2: Convert to fraction form
    287,464.38/396,488.32 = 210,957.63/x
  3. Step 3: Cross multiply
    287,464.38x = 396,488.32 × 210,957.63
  4. Step 4: Simplify right side
    287,464.38x = 83,642,236,309.88
  5. Step 5: Solve for x
    x = 83,642,236,309.88/287,464.38
  6. Step 6: Final answer
    x = 290,965.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.