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Finding the Fourth Proportional to 360,392.47, 497,351.99 and 199,257.92

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Solution

The fourth proportional to 360,392.47, 497,351.99 and 199,257.92 is: 274,981.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,392.47 : 497,351.99 = 199,257.92 : x
  2. Step 2: Convert to fraction form
    360,392.47/497,351.99 = 199,257.92/x
  3. Step 3: Cross multiply
    360,392.47x = 497,351.99 × 199,257.92
  4. Step 4: Simplify right side
    360,392.47x = 99,101,324,776.79
  5. Step 5: Solve for x
    x = 99,101,324,776.79/360,392.47
  6. Step 6: Final answer
    x = 274,981.67

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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.