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Finding the Fourth Proportional to 320,376.42, 480,762.27 and 162,718.02

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Solution

The fourth proportional to 320,376.42, 480,762.27 and 162,718.02 is: 244,177.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,376.42 : 480,762.27 = 162,718.02 : x
  2. Step 2: Convert to fraction form
    320,376.42/480,762.27 = 162,718.02/x
  3. Step 3: Cross multiply
    320,376.42x = 480,762.27 × 162,718.02
  4. Step 4: Simplify right side
    320,376.42x = 78,228,684,665.11
  5. Step 5: Solve for x
    x = 78,228,684,665.11/320,376.42
  6. Step 6: Final answer
    x = 244,177.41

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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.