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Finding the Fourth Proportional to 306,575.31, 459,863.15 and 146,613.45

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Solution

The fourth proportional to 306,575.31, 459,863.15 and 146,613.45 is: 219,920.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,575.31 : 459,863.15 = 146,613.45 : x
  2. Step 2: Convert to fraction form
    306,575.31/459,863.15 = 146,613.45/x
  3. Step 3: Cross multiply
    306,575.31x = 459,863.15 × 146,613.45
  4. Step 4: Simplify right side
    306,575.31x = 67,422,122,216.30
  5. Step 5: Solve for x
    x = 67,422,122,216.30/306,575.31
  6. Step 6: Final answer
    x = 219,920.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.