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Finding the Fourth Proportional to 392,232.96, 541,283.84 and 213,386.24

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Solution

The fourth proportional to 392,232.96, 541,283.84 and 213,386.24 is: 294,474.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,232.96 : 541,283.84 = 213,386.24 : x
  2. Step 2: Convert to fraction form
    392,232.96/541,283.84 = 213,386.24/x
  3. Step 3: Cross multiply
    392,232.96x = 541,283.84 × 213,386.24
  4. Step 4: Simplify right side
    392,232.96x = 115,502,523,390.36
  5. Step 5: Solve for x
    x = 115,502,523,390.36/392,232.96
  6. Step 6: Final answer
    x = 294,474.29

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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.