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Finding the Fourth Proportional to 403,612.38, 556,874.24 and 280,967.31

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Solution

The fourth proportional to 403,612.38, 556,874.24 and 280,967.31 is: 387,657.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,612.38 : 556,874.24 = 280,967.31 : x
  2. Step 2: Convert to fraction form
    403,612.38/556,874.24 = 280,967.31/x
  3. Step 3: Cross multiply
    403,612.38x = 556,874.24 × 280,967.31
  4. Step 4: Simplify right side
    403,612.38x = 156,463,455,139.14
  5. Step 5: Solve for x
    x = 156,463,455,139.14/403,612.38
  6. Step 6: Final answer
    x = 387,657.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.