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Finding the Fourth Proportional to 405,937.90, 608,894.30 and 192,859.20

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Solution

The fourth proportional to 405,937.90, 608,894.30 and 192,859.20 is: 289,282.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,937.90 : 608,894.30 = 192,859.20 : x
  2. Step 2: Convert to fraction form
    405,937.90/608,894.30 = 192,859.20/x
  3. Step 3: Cross multiply
    405,937.90x = 608,894.30 × 192,859.20
  4. Step 4: Simplify right side
    405,937.90x = 117,430,867,582.56
  5. Step 5: Solve for x
    x = 117,430,867,582.56/405,937.90
  6. Step 6: Final answer
    x = 289,282.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.