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Finding the Fourth Proportional to 414,646.66, 572,258.82 and 233,402.68

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Solution

The fourth proportional to 414,646.66, 572,258.82 and 233,402.68 is: 322,121.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,646.66 : 572,258.82 = 233,402.68 : x
  2. Step 2: Convert to fraction form
    414,646.66/572,258.82 = 233,402.68/x
  3. Step 3: Cross multiply
    414,646.66x = 572,258.82 × 233,402.68
  4. Step 4: Simplify right side
    414,646.66x = 133,566,742,241.64
  5. Step 5: Solve for x
    x = 133,566,742,241.64/414,646.66
  6. Step 6: Final answer
    x = 322,121.83

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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.