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Finding the Fourth Proportional to 295,664.62, 407,537.84 and 231,020.86

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Solution

The fourth proportional to 295,664.62, 407,537.84 and 231,020.86 is: 318,434.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,664.62 : 407,537.84 = 231,020.86 : x
  2. Step 2: Convert to fraction form
    295,664.62/407,537.84 = 231,020.86/x
  3. Step 3: Cross multiply
    295,664.62x = 407,537.84 × 231,020.86
  4. Step 4: Simplify right side
    295,664.62x = 94,149,742,279.34
  5. Step 5: Solve for x
    x = 94,149,742,279.34/295,664.62
  6. Step 6: Final answer
    x = 318,434.25

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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.