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Finding the Fourth Proportional to 506,106.82, 698,466.81 and 279,773.38

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Solution

The fourth proportional to 506,106.82, 698,466.81 and 279,773.38 is: 386,109.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,106.82 : 698,466.81 = 279,773.38 : x
  2. Step 2: Convert to fraction form
    506,106.82/698,466.81 = 279,773.38/x
  3. Step 3: Cross multiply
    506,106.82x = 698,466.81 × 279,773.38
  4. Step 4: Simplify right side
    506,106.82x = 195,412,420,251.52
  5. Step 5: Solve for x
    x = 195,412,420,251.52/506,106.82
  6. Step 6: Final answer
    x = 386,109.04

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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.