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Finding the Fourth Proportional to 387,035.44, 580,777.32 and 162,376

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Solution

The fourth proportional to 387,035.44, 580,777.32 and 162,376 is: 243,658.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,035.44 : 580,777.32 = 162,376 : x
  2. Step 2: Convert to fraction form
    387,035.44/580,777.32 = 162,376/x
  3. Step 3: Cross multiply
    387,035.44x = 580,777.32 × 162,376
  4. Step 4: Simplify right side
    387,035.44x = 94,304,298,112.32
  5. Step 5: Solve for x
    x = 94,304,298,112.32/387,035.44
  6. Step 6: Final answer
    x = 243,658.04

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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.