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Finding the Fourth Proportional to 386,405.51, 533,316.15 and 225,286.38

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Solution

The fourth proportional to 386,405.51, 533,316.15 and 225,286.38 is: 310,939.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,405.51 : 533,316.15 = 225,286.38 : x
  2. Step 2: Convert to fraction form
    386,405.51/533,316.15 = 225,286.38/x
  3. Step 3: Cross multiply
    386,405.51x = 533,316.15 × 225,286.38
  4. Step 4: Simplify right side
    386,405.51x = 120,148,864,829.04
  5. Step 5: Solve for x
    x = 120,148,864,829.04/386,405.51
  6. Step 6: Final answer
    x = 310,939.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.