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Finding the Fourth Proportional to 381,595.86, 572,405.94 and 191,952.59

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Solution

The fourth proportional to 381,595.86, 572,405.94 and 191,952.59 is: 287,934.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,595.86 : 572,405.94 = 191,952.59 : x
  2. Step 2: Convert to fraction form
    381,595.86/572,405.94 = 191,952.59/x
  3. Step 3: Cross multiply
    381,595.86x = 572,405.94 × 191,952.59
  4. Step 4: Simplify right side
    381,595.86x = 109,874,799,852.36
  5. Step 5: Solve for x
    x = 109,874,799,852.36/381,595.86
  6. Step 6: Final answer
    x = 287,934.99

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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.