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Finding the Fourth Proportional to 502,236.83, 692,890.53 and 287,262.02

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Solution

The fourth proportional to 502,236.83, 692,890.53 and 287,262.02 is: 396,309.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,236.83 : 692,890.53 = 287,262.02 : x
  2. Step 2: Convert to fraction form
    502,236.83/692,890.53 = 287,262.02/x
  3. Step 3: Cross multiply
    502,236.83x = 692,890.53 × 287,262.02
  4. Step 4: Simplify right side
    502,236.83x = 199,041,133,286.67
  5. Step 5: Solve for x
    x = 199,041,133,286.67/502,236.83
  6. Step 6: Final answer
    x = 396,309.31

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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.