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Finding the Fourth Proportional to 502,198.38, 692,925.94 and 298,318.04

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Solution

The fourth proportional to 502,198.38, 692,925.94 and 298,318.04 is: 411,614.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,198.38 : 692,925.94 = 298,318.04 : x
  2. Step 2: Convert to fraction form
    502,198.38/692,925.94 = 298,318.04/x
  3. Step 3: Cross multiply
    502,198.38x = 692,925.94 × 298,318.04
  4. Step 4: Simplify right side
    502,198.38x = 206,712,304,821.33
  5. Step 5: Solve for x
    x = 206,712,304,821.33/502,198.38
  6. Step 6: Final answer
    x = 411,614.84

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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.