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Finding the Fourth Proportional to 455,992.65, 684,002.79 and 156,468.96

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Solution

The fourth proportional to 455,992.65, 684,002.79 and 156,468.96 is: 234,708.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,992.65 : 684,002.79 = 156,468.96 : x
  2. Step 2: Convert to fraction form
    455,992.65/684,002.79 = 156,468.96/x
  3. Step 3: Cross multiply
    455,992.65x = 684,002.79 × 156,468.96
  4. Step 4: Simplify right side
    455,992.65x = 107,025,205,188.40
  5. Step 5: Solve for x
    x = 107,025,205,188.40/455,992.65
  6. Step 6: Final answer
    x = 234,708.18

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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.