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Finding the Fourth Proportional to 395,300.41, 592,967.01 and 114,817.66

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Solution

The fourth proportional to 395,300.41, 592,967.01 and 114,817.66 is: 172,231.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,300.41 : 592,967.01 = 114,817.66 : x
  2. Step 2: Convert to fraction form
    395,300.41/592,967.01 = 114,817.66/x
  3. Step 3: Cross multiply
    395,300.41x = 592,967.01 × 114,817.66
  4. Step 4: Simplify right side
    395,300.41x = 68,083,081,580.56
  5. Step 5: Solve for x
    x = 68,083,081,580.56/395,300.41
  6. Step 6: Final answer
    x = 172,231.25

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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.