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Finding the Fourth Proportional to 402,494.01, 555,455.06 and 221,212.36

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Solution

The fourth proportional to 402,494.01, 555,455.06 and 221,212.36 is: 305,280.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,494.01 : 555,455.06 = 221,212.36 : x
  2. Step 2: Convert to fraction form
    402,494.01/555,455.06 = 221,212.36/x
  3. Step 3: Cross multiply
    402,494.01x = 555,455.06 × 221,212.36
  4. Step 4: Simplify right side
    402,494.01x = 122,873,525,114.35
  5. Step 5: Solve for x
    x = 122,873,525,114.35/402,494.01
  6. Step 6: Final answer
    x = 305,280.38

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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.