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Finding the Fourth Proportional to 382,417.68, 527,749.20 and 210,342.92

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Solution

The fourth proportional to 382,417.68, 527,749.20 and 210,342.92 is: 290,280.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,417.68 : 527,749.20 = 210,342.92 : x
  2. Step 2: Convert to fraction form
    382,417.68/527,749.20 = 210,342.92/x
  3. Step 3: Cross multiply
    382,417.68x = 527,749.20 × 210,342.92
  4. Step 4: Simplify right side
    382,417.68x = 111,008,307,755.66
  5. Step 5: Solve for x
    x = 111,008,307,755.66/382,417.68
  6. Step 6: Final answer
    x = 290,280.27

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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.