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Finding the Fourth Proportional to 296,417.72, 444,697.32 and 96,738.48

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Solution

The fourth proportional to 296,417.72, 444,697.32 and 96,738.48 is: 145,130.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,417.72 : 444,697.32 = 96,738.48 : x
  2. Step 2: Convert to fraction form
    296,417.72/444,697.32 = 96,738.48/x
  3. Step 3: Cross multiply
    296,417.72x = 444,697.32 × 96,738.48
  4. Step 4: Simplify right side
    296,417.72x = 43,019,342,796.87
  5. Step 5: Solve for x
    x = 43,019,342,796.87/296,417.72
  6. Step 6: Final answer
    x = 145,130.81

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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.