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Finding the Fourth Proportional to 296,416.91, 444,696.10 and 96,737.67

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Solution

The fourth proportional to 296,416.91, 444,696.10 and 96,737.67 is: 145,129.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,416.91 : 444,696.10 = 96,737.67 : x
  2. Step 2: Convert to fraction form
    296,416.91/444,696.10 = 96,737.67/x
  3. Step 3: Cross multiply
    296,416.91x = 444,696.10 × 96,737.67
  4. Step 4: Simplify right side
    296,416.91x = 43,018,862,469.53
  5. Step 5: Solve for x
    x = 43,018,862,469.53/296,416.91
  6. Step 6: Final answer
    x = 145,129.58

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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.