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Finding the Fourth Proportional to 533,074.28, 735,622.54 and 291,354.92

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Solution

The fourth proportional to 533,074.28, 735,622.54 and 291,354.92 is: 402,058.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,074.28 : 735,622.54 = 291,354.92 : x
  2. Step 2: Convert to fraction form
    533,074.28/735,622.54 = 291,354.92/x
  3. Step 3: Cross multiply
    533,074.28x = 735,622.54 × 291,354.92
  4. Step 4: Simplify right side
    533,074.28x = 214,327,246,291.90
  5. Step 5: Solve for x
    x = 214,327,246,291.90/533,074.28
  6. Step 6: Final answer
    x = 402,058.88

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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.