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Finding the Fourth Proportional to 309,817.08, 464,764.54 and 99,398.52

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Solution

The fourth proportional to 309,817.08, 464,764.54 and 99,398.52 is: 149,110.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,817.08 : 464,764.54 = 99,398.52 : x
  2. Step 2: Convert to fraction form
    309,817.08/464,764.54 = 99,398.52/x
  3. Step 3: Cross multiply
    309,817.08x = 464,764.54 × 99,398.52
  4. Step 4: Simplify right side
    309,817.08x = 46,196,907,424.48
  5. Step 5: Solve for x
    x = 46,196,907,424.48/309,817.08
  6. Step 6: Final answer
    x = 149,110.27

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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.