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Finding the Fourth Proportional to 533,844.56, 800,533.56 and 159,780.08

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Solution

The fourth proportional to 533,844.56, 800,533.56 and 159,780.08 is: 239,600.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,844.56 : 800,533.56 = 159,780.08 : x
  2. Step 2: Convert to fraction form
    533,844.56/800,533.56 = 159,780.08/x
  3. Step 3: Cross multiply
    533,844.56x = 800,533.56 × 159,780.08
  4. Step 4: Simplify right side
    533,844.56x = 127,909,316,259.49
  5. Step 5: Solve for x
    x = 127,909,316,259.49/533,844.56
  6. Step 6: Final answer
    x = 239,600.30

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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.