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Finding the Fourth Proportional to 402,494.46, 555,406.20 and 221,204.40

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Solution

The fourth proportional to 402,494.46, 555,406.20 and 221,204.40 is: 305,242.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,494.46 : 555,406.20 = 221,204.40 : x
  2. Step 2: Convert to fraction form
    402,494.46/555,406.20 = 221,204.40/x
  3. Step 3: Cross multiply
    402,494.46x = 555,406.20 × 221,204.40
  4. Step 4: Simplify right side
    402,494.46x = 122,858,295,227.28
  5. Step 5: Solve for x
    x = 122,858,295,227.28/402,494.46
  6. Step 6: Final answer
    x = 305,242.20

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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.