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Finding the Fourth Proportional to 533,093.52, 735,667.27 and 291,375.96

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Solution

The fourth proportional to 533,093.52, 735,667.27 and 291,375.96 is: 402,097.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,093.52 : 735,667.27 = 291,375.96 : x
  2. Step 2: Convert to fraction form
    533,093.52/735,667.27 = 291,375.96/x
  3. Step 3: Cross multiply
    533,093.52x = 735,667.27 × 291,375.96
  4. Step 4: Simplify right side
    533,093.52x = 214,355,757,036.83
  5. Step 5: Solve for x
    x = 214,355,757,036.83/533,093.52
  6. Step 6: Final answer
    x = 402,097.85

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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.