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Finding the Fourth Proportional to 284,674.80, 392,866.56 and 157,362.24

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Solution

The fourth proportional to 284,674.80, 392,866.56 and 157,362.24 is: 217,168.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,674.80 : 392,866.56 = 157,362.24 : x
  2. Step 2: Convert to fraction form
    284,674.80/392,866.56 = 157,362.24/x
  3. Step 3: Cross multiply
    284,674.80x = 392,866.56 × 157,362.24
  4. Step 4: Simplify right side
    284,674.80x = 61,822,361,902.69
  5. Step 5: Solve for x
    x = 61,822,361,902.69/284,674.80
  6. Step 6: Final answer
    x = 217,168.37

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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.