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Finding the Fourth Proportional to 444,024.32, 612,741.12 and 242,816

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Solution

The fourth proportional to 444,024.32, 612,741.12 and 242,816 is: 335,079.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,024.32 : 612,741.12 = 242,816 : x
  2. Step 2: Convert to fraction form
    444,024.32/612,741.12 = 242,816/x
  3. Step 3: Cross multiply
    444,024.32x = 612,741.12 × 242,816
  4. Step 4: Simplify right side
    444,024.32x = 148,783,347,793.92
  5. Step 5: Solve for x
    x = 148,783,347,793.92/444,024.32
  6. Step 6: Final answer
    x = 335,079.28

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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.