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Finding the Fourth Proportional to 467,338.44, 700,941.78 and 151,799.16

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Solution

The fourth proportional to 467,338.44, 700,941.78 and 151,799.16 is: 227,677.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,338.44 : 700,941.78 = 151,799.16 : x
  2. Step 2: Convert to fraction form
    467,338.44/700,941.78 = 151,799.16/x
  3. Step 3: Cross multiply
    467,338.44x = 700,941.78 × 151,799.16
  4. Step 4: Simplify right side
    467,338.44x = 106,402,373,412.91
  5. Step 5: Solve for x
    x = 106,402,373,412.91/467,338.44
  6. Step 6: Final answer
    x = 227,677.34

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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.