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Finding the Fourth Proportional to 400,163.16, 600,023.16 and 163,671.92

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Solution

The fourth proportional to 400,163.16, 600,023.16 and 163,671.92 is: 245,417.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,163.16 : 600,023.16 = 163,671.92 : x
  2. Step 2: Convert to fraction form
    400,163.16/600,023.16 = 163,671.92/x
  3. Step 3: Cross multiply
    400,163.16x = 600,023.16 × 163,671.92
  4. Step 4: Simplify right side
    400,163.16x = 98,206,942,641.67
  5. Step 5: Solve for x
    x = 98,206,942,641.67/400,163.16
  6. Step 6: Final answer
    x = 245,417.25

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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.