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Finding the Fourth Proportional to 414,465.76, 571,946.08 and 233,181.28

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Solution

The fourth proportional to 414,465.76, 571,946.08 and 233,181.28 is: 321,780.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,465.76 : 571,946.08 = 233,181.28 : x
  2. Step 2: Convert to fraction form
    414,465.76/571,946.08 = 233,181.28/x
  3. Step 3: Cross multiply
    414,465.76x = 571,946.08 × 233,181.28
  4. Step 4: Simplify right side
    414,465.76x = 133,367,119,025.38
  5. Step 5: Solve for x
    x = 133,367,119,025.38/414,465.76
  6. Step 6: Final answer
    x = 321,780.79

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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.