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Finding the Fourth Proportional to 405,346.16, 559,358.38 and 221,594.21

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Solution

The fourth proportional to 405,346.16, 559,358.38 and 221,594.21 is: 305,789.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,346.16 : 559,358.38 = 221,594.21 : x
  2. Step 2: Convert to fraction form
    405,346.16/559,358.38 = 221,594.21/x
  3. Step 3: Cross multiply
    405,346.16x = 559,358.38 × 221,594.21
  4. Step 4: Simplify right side
    405,346.16x = 123,950,580,493.18
  5. Step 5: Solve for x
    x = 123,950,580,493.18/405,346.16
  6. Step 6: Final answer
    x = 305,789.45

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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.