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Finding the Fourth Proportional to 533,157.61, 735,757.56 and 291,441.16

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Solution

The fourth proportional to 533,157.61, 735,757.56 and 291,441.16 is: 402,188.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,157.61 : 735,757.56 = 291,441.16 : x
  2. Step 2: Convert to fraction form
    533,157.61/735,757.56 = 291,441.16/x
  3. Step 3: Cross multiply
    533,157.61x = 735,757.56 × 291,441.16
  4. Step 4: Simplify right side
    533,157.61x = 214,430,036,765.17
  5. Step 5: Solve for x
    x = 214,430,036,765.17/533,157.61
  6. Step 6: Final answer
    x = 402,188.83

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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.