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Finding the Fourth Proportional to 467,786.40, 701,695.80 and 147,941.70

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Solution

The fourth proportional to 467,786.40, 701,695.80 and 147,941.70 is: 221,917.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,786.40 : 701,695.80 = 147,941.70 : x
  2. Step 2: Convert to fraction form
    467,786.40/701,695.80 = 147,941.70/x
  3. Step 3: Cross multiply
    467,786.40x = 701,695.80 × 147,941.70
  4. Step 4: Simplify right side
    467,786.40x = 103,810,069,534.86
  5. Step 5: Solve for x
    x = 103,810,069,534.86/467,786.40
  6. Step 6: Final answer
    x = 221,917.67

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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.