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Finding the Fourth Proportional to 306,646.34, 459,937.14 and 82,029.44

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Solution

The fourth proportional to 306,646.34, 459,937.14 and 82,029.44 is: 123,035.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,646.34 : 459,937.14 = 82,029.44 : x
  2. Step 2: Convert to fraction form
    306,646.34/459,937.14 = 82,029.44/x
  3. Step 3: Cross multiply
    306,646.34x = 459,937.14 × 82,029.44
  4. Step 4: Simplify right side
    306,646.34x = 37,728,386,029.40
  5. Step 5: Solve for x
    x = 37,728,386,029.40/306,646.34
  6. Step 6: Final answer
    x = 123,035.50

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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.