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Finding the Fourth Proportional to 510,994.11, 705,187.85 and 293,242.62

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Solution

The fourth proportional to 510,994.11, 705,187.85 and 293,242.62 is: 404,683.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,994.11 : 705,187.85 = 293,242.62 : x
  2. Step 2: Convert to fraction form
    510,994.11/705,187.85 = 293,242.62/x
  3. Step 3: Cross multiply
    510,994.11x = 705,187.85 × 293,242.62
  4. Step 4: Simplify right side
    510,994.11x = 206,791,131,259.95
  5. Step 5: Solve for x
    x = 206,791,131,259.95/510,994.11
  6. Step 6: Final answer
    x = 404,683.98

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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.