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Finding the Fourth Proportional to 533,308.46, 735,965.73 and 291,591.19

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Solution

The fourth proportional to 533,308.46, 735,965.73 and 291,591.19 is: 402,395.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,308.46 : 735,965.73 = 291,591.19 : x
  2. Step 2: Convert to fraction form
    533,308.46/735,965.73 = 291,591.19/x
  3. Step 3: Cross multiply
    533,308.46x = 735,965.73 × 291,591.19
  4. Step 4: Simplify right side
    533,308.46x = 214,601,123,009.92
  5. Step 5: Solve for x
    x = 214,601,123,009.92/533,308.46
  6. Step 6: Final answer
    x = 402,395.87

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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.