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Finding the Fourth Proportional to 468,727.10, 703,123.76 and 232,006.22

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Solution

The fourth proportional to 468,727.10, 703,123.76 and 232,006.22 is: 348,025.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,727.10 : 703,123.76 = 232,006.22 : x
  2. Step 2: Convert to fraction form
    468,727.10/703,123.76 = 232,006.22/x
  3. Step 3: Cross multiply
    468,727.10x = 703,123.76 × 232,006.22
  4. Step 4: Simplify right side
    468,727.10x = 163,129,081,074.14
  5. Step 5: Solve for x
    x = 163,129,081,074.14/468,727.10
  6. Step 6: Final answer
    x = 348,025.71

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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.