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Finding the Fourth Proportional to 284,674.04, 392,809.47 and 163,769.12

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Solution

The fourth proportional to 284,674.04, 392,809.47 and 163,769.12 is: 225,977.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,674.04 : 392,809.47 = 163,769.12 : x
  2. Step 2: Convert to fraction form
    284,674.04/392,809.47 = 163,769.12/x
  3. Step 3: Cross multiply
    284,674.04x = 392,809.47 × 163,769.12
  4. Step 4: Simplify right side
    284,674.04x = 64,330,061,229.57
  5. Step 5: Solve for x
    x = 64,330,061,229.57/284,674.04
  6. Step 6: Final answer
    x = 225,977.97

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1.5x scale

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.