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Finding the Fourth Proportional to 520,161.75, 717,881.63 and 293,821.83

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Solution

The fourth proportional to 520,161.75, 717,881.63 and 293,821.83 is: 405,507.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,161.75 : 717,881.63 = 293,821.83 : x
  2. Step 2: Convert to fraction form
    520,161.75/717,881.63 = 293,821.83/x
  3. Step 3: Cross multiply
    520,161.75x = 717,881.63 × 293,821.83
  4. Step 4: Simplify right side
    520,161.75x = 210,929,292,780.87
  5. Step 5: Solve for x
    x = 210,929,292,780.87/520,161.75
  6. Step 6: Final answer
    x = 405,507.12

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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.