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Finding the Fourth Proportional to 320,027.68, 480,084.72 and 117,596.80

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Solution

The fourth proportional to 320,027.68, 480,084.72 and 117,596.80 is: 176,411.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,027.68 : 480,084.72 = 117,596.80 : x
  2. Step 2: Convert to fraction form
    320,027.68/480,084.72 = 117,596.80/x
  3. Step 3: Cross multiply
    320,027.68x = 480,084.72 × 117,596.80
  4. Step 4: Simplify right side
    320,027.68x = 56,456,426,800.90
  5. Step 5: Solve for x
    x = 56,456,426,800.90/320,027.68
  6. Step 6: Final answer
    x = 176,411.07

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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.