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Finding the Fourth Proportional to 458,121.06, 687,450.51 and 191,861.10

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Solution

The fourth proportional to 458,121.06, 687,450.51 and 191,861.10 is: 287,904.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,121.06 : 687,450.51 = 191,861.10 : x
  2. Step 2: Convert to fraction form
    458,121.06/687,450.51 = 191,861.10/x
  3. Step 3: Cross multiply
    458,121.06x = 687,450.51 × 191,861.10
  4. Step 4: Simplify right side
    458,121.06x = 131,895,011,044.16
  5. Step 5: Solve for x
    x = 131,895,011,044.16/458,121.06
  6. Step 6: Final answer
    x = 287,904.27

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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.