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Finding the Fourth Proportional to 520,162, 717,881.97 and 293,822.08

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Solution

The fourth proportional to 520,162, 717,881.97 and 293,822.08 is: 405,507.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,162 : 717,881.97 = 293,822.08 : x
  2. Step 2: Convert to fraction form
    520,162/717,881.97 = 293,822.08/x
  3. Step 3: Cross multiply
    520,162x = 717,881.97 × 293,822.08
  4. Step 4: Simplify right side
    520,162x = 210,929,573,619.90
  5. Step 5: Solve for x
    x = 210,929,573,619.90/520,162
  6. Step 6: Final answer
    x = 405,507.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.