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Finding the Fourth Proportional to 466,142.40, 699,228.24 and 150,602.16

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Solution

The fourth proportional to 466,142.40, 699,228.24 and 150,602.16 is: 225,907.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,142.40 : 699,228.24 = 150,602.16 : x
  2. Step 2: Convert to fraction form
    466,142.40/699,228.24 = 150,602.16/x
  3. Step 3: Cross multiply
    466,142.40x = 699,228.24 × 150,602.16
  4. Step 4: Simplify right side
    466,142.40x = 105,305,283,277.00
  5. Step 5: Solve for x
    x = 105,305,283,277.00/466,142.40
  6. Step 6: Final answer
    x = 225,907.97

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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.