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Finding the Fourth Proportional to 319,226.40, 478,620.90 and 150,827.40

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Solution

The fourth proportional to 319,226.40, 478,620.90 and 150,827.40 is: 226,137.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,226.40 : 478,620.90 = 150,827.40 : x
  2. Step 2: Convert to fraction form
    319,226.40/478,620.90 = 150,827.40/x
  3. Step 3: Cross multiply
    319,226.40x = 478,620.90 × 150,827.40
  4. Step 4: Simplify right side
    319,226.40x = 72,189,145,932.66
  5. Step 5: Solve for x
    x = 72,189,145,932.66/319,226.40
  6. Step 6: Final answer
    x = 226,137.77

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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.