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Finding the Fourth Proportional to 296,944.29, 445,324.10 and 97,220.16

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Solution

The fourth proportional to 296,944.29, 445,324.10 and 97,220.16 is: 145,800.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,944.29 : 445,324.10 = 97,220.16 : x
  2. Step 2: Convert to fraction form
    296,944.29/445,324.10 = 97,220.16/x
  3. Step 3: Cross multiply
    296,944.29x = 445,324.10 × 97,220.16
  4. Step 4: Simplify right side
    296,944.29x = 43,294,479,767.76
  5. Step 5: Solve for x
    x = 43,294,479,767.76/296,944.29
  6. Step 6: Final answer
    x = 145,800.01

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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.