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Finding the Fourth Proportional to 533,364.70, 736,043.20 and 291,647.42

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Solution

The fourth proportional to 533,364.70, 736,043.20 and 291,647.42 is: 402,473.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,364.70 : 736,043.20 = 291,647.42 : x
  2. Step 2: Convert to fraction form
    533,364.70/736,043.20 = 291,647.42/x
  3. Step 3: Cross multiply
    533,364.70x = 736,043.20 × 291,647.42
  4. Step 4: Simplify right side
    533,364.70x = 214,665,100,288.54
  5. Step 5: Solve for x
    x = 214,665,100,288.54/533,364.70
  6. Step 6: Final answer
    x = 402,473.39

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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.