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Finding the Fourth Proportional to 506,945.38, 699,740.37 and 292,228.98

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Solution

The fourth proportional to 506,945.38, 699,740.37 and 292,228.98 is: 403,365.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,945.38 : 699,740.37 = 292,228.98 : x
  2. Step 2: Convert to fraction form
    506,945.38/699,740.37 = 292,228.98/x
  3. Step 3: Cross multiply
    506,945.38x = 699,740.37 × 292,228.98
  4. Step 4: Simplify right side
    506,945.38x = 204,484,414,589.92
  5. Step 5: Solve for x
    x = 204,484,414,589.92/506,945.38
  6. Step 6: Final answer
    x = 403,365.77

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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.