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Finding the Fourth Proportional to 289,698.02, 399,782 and 162,373.62

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Solution

The fourth proportional to 289,698.02, 399,782 and 162,373.62 is: 224,074.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,698.02 : 399,782 = 162,373.62 : x
  2. Step 2: Convert to fraction form
    289,698.02/399,782 = 162,373.62/x
  3. Step 3: Cross multiply
    289,698.02x = 399,782 × 162,373.62
  4. Step 4: Simplify right side
    289,698.02x = 64,914,050,550.84
  5. Step 5: Solve for x
    x = 64,914,050,550.84/289,698.02
  6. Step 6: Final answer
    x = 224,074.89

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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.