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Finding the Fourth Proportional to 533,308.58, 735,965.91 and 291,591.32

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Solution

The fourth proportional to 533,308.58, 735,965.91 and 291,591.32 is: 402,396.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,308.58 : 735,965.91 = 291,591.32 : x
  2. Step 2: Convert to fraction form
    533,308.58/735,965.91 = 291,591.32/x
  3. Step 3: Cross multiply
    533,308.58x = 735,965.91 × 291,591.32
  4. Step 4: Simplify right side
    533,308.58x = 214,601,273,011.82
  5. Step 5: Solve for x
    x = 214,601,273,011.82/533,308.58
  6. Step 6: Final answer
    x = 402,396.06

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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.