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Finding the Fourth Proportional to 468,776.11, 703,196.97 and 232,055.23

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Solution

The fourth proportional to 468,776.11, 703,196.97 and 232,055.23 is: 348,099.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,776.11 : 703,196.97 = 232,055.23 : x
  2. Step 2: Convert to fraction form
    468,776.11/703,196.97 = 232,055.23/x
  3. Step 3: Cross multiply
    468,776.11x = 703,196.97 × 232,055.23
  4. Step 4: Simplify right side
    468,776.11x = 163,180,534,608.65
  5. Step 5: Solve for x
    x = 163,180,534,608.65/468,776.11
  6. Step 6: Final answer
    x = 348,099.08

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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.