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Finding the Fourth Proportional to 284,594.46, 392,755.47 and 163,754.10

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Solution

The fourth proportional to 284,594.46, 392,755.47 and 163,754.10 is: 225,989.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,594.46 : 392,755.47 = 163,754.10 : x
  2. Step 2: Convert to fraction form
    284,594.46/392,755.47 = 163,754.10/x
  3. Step 3: Cross multiply
    284,594.46x = 392,755.47 × 163,754.10
  4. Step 4: Simplify right side
    284,594.46x = 64,315,318,509.93
  5. Step 5: Solve for x
    x = 64,315,318,509.93/284,594.46
  6. Step 6: Final answer
    x = 225,989.36

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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.