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Finding the Fourth Proportional to 533,829.36, 800,868.60 and 154,758

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Solution

The fourth proportional to 533,829.36, 800,868.60 and 154,758 is: 232,173.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,829.36 : 800,868.60 = 154,758 : x
  2. Step 2: Convert to fraction form
    533,829.36/800,868.60 = 154,758/x
  3. Step 3: Cross multiply
    533,829.36x = 800,868.60 × 154,758
  4. Step 4: Simplify right side
    533,829.36x = 123,940,822,798.80
  5. Step 5: Solve for x
    x = 123,940,822,798.80/533,829.36
  6. Step 6: Final answer
    x = 232,173.11

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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.