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Finding the Fourth Proportional to 284,594.47, 392,755.48 and 163,754.10

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Solution

The fourth proportional to 284,594.47, 392,755.48 and 163,754.10 is: 225,989.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,594.47 : 392,755.48 = 163,754.10 : x
  2. Step 2: Convert to fraction form
    284,594.47/392,755.48 = 163,754.10/x
  3. Step 3: Cross multiply
    284,594.47x = 392,755.48 × 163,754.10
  4. Step 4: Simplify right side
    284,594.47x = 64,315,319,738.08
  5. Step 5: Solve for x
    x = 64,315,319,738.08/284,594.47
  6. Step 6: Final answer
    x = 225,989.35

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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.