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Finding the Fourth Proportional to 412,506.29, 568,193.88 and 291,437.42

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Solution

The fourth proportional to 412,506.29, 568,193.88 and 291,437.42 is: 401,431.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,506.29 : 568,193.88 = 291,437.42 : x
  2. Step 2: Convert to fraction form
    412,506.29/568,193.88 = 291,437.42/x
  3. Step 3: Cross multiply
    412,506.29x = 568,193.88 × 291,437.42
  4. Step 4: Simplify right side
    412,506.29x = 165,592,955,606.02
  5. Step 5: Solve for x
    x = 165,592,955,606.02/412,506.29
  6. Step 6: Final answer
    x = 401,431.35

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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.