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Finding the Fourth Proportional to 296,343.95, 408,950.52 and 169,021.67

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Solution

The fourth proportional to 296,343.95, 408,950.52 and 169,021.67 is: 233,247.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,343.95 : 408,950.52 = 169,021.67 : x
  2. Step 2: Convert to fraction form
    296,343.95/408,950.52 = 169,021.67/x
  3. Step 3: Cross multiply
    296,343.95x = 408,950.52 × 169,021.67
  4. Step 4: Simplify right side
    296,343.95x = 69,121,499,837.77
  5. Step 5: Solve for x
    x = 69,121,499,837.77/296,343.95
  6. Step 6: Final answer
    x = 233,247.55

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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.