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Finding the Fourth Proportional to 458,119.65, 687,447.45 and 191,857.80

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Solution

The fourth proportional to 458,119.65, 687,447.45 and 191,857.80 is: 287,898.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,119.65 : 687,447.45 = 191,857.80 : x
  2. Step 2: Convert to fraction form
    458,119.65/687,447.45 = 191,857.80/x
  3. Step 3: Cross multiply
    458,119.65x = 687,447.45 × 191,857.80
  4. Step 4: Simplify right side
    458,119.65x = 131,892,155,372.61
  5. Step 5: Solve for x
    x = 131,892,155,372.61/458,119.65
  6. Step 6: Final answer
    x = 287,898.93

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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.