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Finding the Fourth Proportional to 382,232.59, 527,482.02 and 210,168.14

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Solution

The fourth proportional to 382,232.59, 527,482.02 and 210,168.14 is: 290,032.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,232.59 : 527,482.02 = 210,168.14 : x
  2. Step 2: Convert to fraction form
    382,232.59/527,482.02 = 210,168.14/x
  3. Step 3: Cross multiply
    382,232.59x = 527,482.02 × 210,168.14
  4. Step 4: Simplify right side
    382,232.59x = 110,859,913,177.56
  5. Step 5: Solve for x
    x = 110,859,913,177.56/382,232.59
  6. Step 6: Final answer
    x = 290,032.61

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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.