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Finding the Fourth Proportional to 533,291.24, 735,943.24 and 291,589.42

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Solution

The fourth proportional to 533,291.24, 735,943.24 and 291,589.42 is: 402,394.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,291.24 : 735,943.24 = 291,589.42 : x
  2. Step 2: Convert to fraction form
    533,291.24/735,943.24 = 291,589.42/x
  3. Step 3: Cross multiply
    533,291.24x = 735,943.24 × 291,589.42
  4. Step 4: Simplify right side
    533,291.24x = 214,593,262,504.52
  5. Step 5: Solve for x
    x = 214,593,262,504.52/533,291.24
  6. Step 6: Final answer
    x = 402,394.13

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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.