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Finding the Fourth Proportional to 353,014.56, 487,163.34 and 191,869.98

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Solution

The fourth proportional to 353,014.56, 487,163.34 and 191,869.98 is: 264,782.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,014.56 : 487,163.34 = 191,869.98 : x
  2. Step 2: Convert to fraction form
    353,014.56/487,163.34 = 191,869.98/x
  3. Step 3: Cross multiply
    353,014.56x = 487,163.34 × 191,869.98
  4. Step 4: Simplify right side
    353,014.56x = 93,472,020,302.53
  5. Step 5: Solve for x
    x = 93,472,020,302.53/353,014.56
  6. Step 6: Final answer
    x = 264,782.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.