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Finding the Fourth Proportional to 381,567.16, 572,362.91 and 191,923.95

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Solution

The fourth proportional to 381,567.16, 572,362.91 and 191,923.95 is: 287,892.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,567.16 : 572,362.91 = 191,923.95 : x
  2. Step 2: Convert to fraction form
    381,567.16/572,362.91 = 191,923.95/x
  3. Step 3: Cross multiply
    381,567.16x = 572,362.91 × 191,923.95
  4. Step 4: Simplify right side
    381,567.16x = 109,850,149,207.61
  5. Step 5: Solve for x
    x = 109,850,149,207.61/381,567.16
  6. Step 6: Final answer
    x = 287,892.05

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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.