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Finding the Fourth Proportional to 284,093.46, 392,071.10 and 163,276.89

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Solution

The fourth proportional to 284,093.46, 392,071.10 and 163,276.89 is: 225,334.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,093.46 : 392,071.10 = 163,276.89 : x
  2. Step 2: Convert to fraction form
    284,093.46/392,071.10 = 163,276.89/x
  3. Step 3: Cross multiply
    284,093.46x = 392,071.10 × 163,276.89
  4. Step 4: Simplify right side
    284,093.46x = 64,016,149,050.49
  5. Step 5: Solve for x
    x = 64,016,149,050.49/284,093.46
  6. Step 6: Final answer
    x = 225,334.82

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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.