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Finding the Fourth Proportional to 408,904.34, 563,552.44 and 332,675.84

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Solution

The fourth proportional to 408,904.34, 563,552.44 and 332,675.84 is: 458,494.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,904.34 : 563,552.44 = 332,675.84 : x
  2. Step 2: Convert to fraction form
    408,904.34/563,552.44 = 332,675.84/x
  3. Step 3: Cross multiply
    408,904.34x = 563,552.44 × 332,675.84
  4. Step 4: Simplify right side
    408,904.34x = 187,480,281,938.24
  5. Step 5: Solve for x
    x = 187,480,281,938.24/408,904.34
  6. Step 6: Final answer
    x = 458,494.24

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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.