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Finding the Fourth Proportional to 382,333.60, 527,633.90 and 210,264.69

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Solution

The fourth proportional to 382,333.60, 527,633.90 and 210,264.69 is: 290,172.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,333.60 : 527,633.90 = 210,264.69 : x
  2. Step 2: Convert to fraction form
    382,333.60/527,633.90 = 210,264.69/x
  3. Step 3: Cross multiply
    382,333.60x = 527,633.90 × 210,264.69
  4. Step 4: Simplify right side
    382,333.60x = 110,942,780,132.79
  5. Step 5: Solve for x
    x = 110,942,780,132.79/382,333.60
  6. Step 6: Final answer
    x = 290,172.72

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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.