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Finding the Fourth Proportional to 506,939.88, 699,732.78 and 292,223.48

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Solution

The fourth proportional to 506,939.88, 699,732.78 and 292,223.48 is: 403,358.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,939.88 : 699,732.78 = 292,223.48 : x
  2. Step 2: Convert to fraction form
    506,939.88/699,732.78 = 292,223.48/x
  3. Step 3: Cross multiply
    506,939.88x = 699,732.78 × 292,223.48
  4. Step 4: Simplify right side
    506,939.88x = 204,478,348,041.67
  5. Step 5: Solve for x
    x = 204,478,348,041.67/506,939.88
  6. Step 6: Final answer
    x = 403,358.18

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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.