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Finding the Fourth Proportional to 511,061.24, 705,235.38 and 293,223.74

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Solution

The fourth proportional to 511,061.24, 705,235.38 and 293,223.74 is: 404,632.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,061.24 : 705,235.38 = 293,223.74 : x
  2. Step 2: Convert to fraction form
    511,061.24/705,235.38 = 293,223.74/x
  3. Step 3: Cross multiply
    511,061.24x = 705,235.38 × 293,223.74
  4. Step 4: Simplify right side
    511,061.24x = 206,791,755,703.92
  5. Step 5: Solve for x
    x = 206,791,755,703.92/511,061.24
  6. Step 6: Final answer
    x = 404,632.05

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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.