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Finding the Fourth Proportional to 445,832.80, 668,846.40 and 146,262.40

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Solution

The fourth proportional to 445,832.80, 668,846.40 and 146,262.40 is: 219,425.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,832.80 : 668,846.40 = 146,262.40 : x
  2. Step 2: Convert to fraction form
    445,832.80/668,846.40 = 146,262.40/x
  3. Step 3: Cross multiply
    445,832.80x = 668,846.40 × 146,262.40
  4. Step 4: Simplify right side
    445,832.80x = 97,827,079,695.36
  5. Step 5: Solve for x
    x = 97,827,079,695.36/445,832.80
  6. Step 6: Final answer
    x = 219,425.49

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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.