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Finding the Fourth Proportional to 519,883.46, 717,358.28 and 293,524.10

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Solution

The fourth proportional to 519,883.46, 717,358.28 and 293,524.10 is: 405,017.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,883.46 : 717,358.28 = 293,524.10 : x
  2. Step 2: Convert to fraction form
    519,883.46/717,358.28 = 293,524.10/x
  3. Step 3: Cross multiply
    519,883.46x = 717,358.28 × 293,524.10
  4. Step 4: Simplify right side
    519,883.46x = 210,561,943,514.55
  5. Step 5: Solve for x
    x = 210,561,943,514.55/519,883.46
  6. Step 6: Final answer
    x = 405,017.59

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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.