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Finding the Fourth Proportional to 284,889.44, 393,145.44 and 157,560.32

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Solution

The fourth proportional to 284,889.44, 393,145.44 and 157,560.32 is: 217,432.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,889.44 : 393,145.44 = 157,560.32 : x
  2. Step 2: Convert to fraction form
    284,889.44/393,145.44 = 157,560.32/x
  3. Step 3: Cross multiply
    284,889.44x = 393,145.44 × 157,560.32
  4. Step 4: Simplify right side
    284,889.44x = 61,944,121,332.94
  5. Step 5: Solve for x
    x = 61,944,121,332.94/284,889.44
  6. Step 6: Final answer
    x = 217,432.14

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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.