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Finding the Fourth Proportional to 381,538.60, 572,567.10 and 213,058.60

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Solution

The fourth proportional to 381,538.60, 572,567.10 and 213,058.60 is: 319,732.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,538.60 : 572,567.10 = 213,058.60 : x
  2. Step 2: Convert to fraction form
    381,538.60/572,567.10 = 213,058.60/x
  3. Step 3: Cross multiply
    381,538.60x = 572,567.10 × 213,058.60
  4. Step 4: Simplify right side
    381,538.60x = 121,990,344,732.06
  5. Step 5: Solve for x
    x = 121,990,344,732.06/381,538.60
  6. Step 6: Final answer
    x = 319,732.64

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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.