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Finding the Fourth Proportional to 354,432.14, 489,117.16 and 201,471.32

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Solution

The fourth proportional to 354,432.14, 489,117.16 and 201,471.32 is: 278,030.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,432.14 : 489,117.16 = 201,471.32 : x
  2. Step 2: Convert to fraction form
    354,432.14/489,117.16 = 201,471.32/x
  3. Step 3: Cross multiply
    354,432.14x = 489,117.16 × 201,471.32
  4. Step 4: Simplify right side
    354,432.14x = 98,543,079,859.85
  5. Step 5: Solve for x
    x = 98,543,079,859.85/354,432.14
  6. Step 6: Final answer
    x = 278,030.88

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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.