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Finding the Fourth Proportional to 414,494.64, 572,002.62 and 235,646.64

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Solution

The fourth proportional to 414,494.64, 572,002.62 and 235,646.64 is: 325,192.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,494.64 : 572,002.62 = 235,646.64 : x
  2. Step 2: Convert to fraction form
    414,494.64/572,002.62 = 235,646.64/x
  3. Step 3: Cross multiply
    414,494.64x = 572,002.62 × 235,646.64
  4. Step 4: Simplify right side
    414,494.64x = 134,790,495,474.20
  5. Step 5: Solve for x
    x = 134,790,495,474.20/414,494.64
  6. Step 6: Final answer
    x = 325,192.37

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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.