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Finding the Fourth Proportional to 519,398.26, 716,770.29 and 293,064.82

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Solution

The fourth proportional to 519,398.26, 716,770.29 and 293,064.82 is: 404,429.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,398.26 : 716,770.29 = 293,064.82 : x
  2. Step 2: Convert to fraction form
    519,398.26/716,770.29 = 293,064.82/x
  3. Step 3: Cross multiply
    519,398.26x = 716,770.29 × 293,064.82
  4. Step 4: Simplify right side
    519,398.26x = 210,060,156,020.20
  5. Step 5: Solve for x
    x = 210,060,156,020.20/519,398.26
  6. Step 6: Final answer
    x = 404,429.84

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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.