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Finding the Fourth Proportional to 357,471.17, 536,206.32 and 91,231.71

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Solution

The fourth proportional to 357,471.17, 536,206.32 and 91,231.71 is: 136,847.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,471.17 : 536,206.32 = 91,231.71 : x
  2. Step 2: Convert to fraction form
    357,471.17/536,206.32 = 91,231.71/x
  3. Step 3: Cross multiply
    357,471.17x = 536,206.32 × 91,231.71
  4. Step 4: Simplify right side
    357,471.17x = 48,919,019,486.41
  5. Step 5: Solve for x
    x = 48,919,019,486.41/357,471.17
  6. Step 6: Final answer
    x = 136,847.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.