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Finding the Fourth Proportional to 614,944, 922,552.32 and 188,538.88

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Solution

The fourth proportional to 614,944, 922,552.32 and 188,538.88 is: 282,850.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,944 : 922,552.32 = 188,538.88 : x
  2. Step 2: Convert to fraction form
    614,944/922,552.32 = 188,538.88/x
  3. Step 3: Cross multiply
    614,944x = 922,552.32 × 188,538.88
  4. Step 4: Simplify right side
    614,944x = 173,936,981,154.20
  5. Step 5: Solve for x
    x = 173,936,981,154.20/614,944
  6. Step 6: Final answer
    x = 282,850.12

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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.