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Finding the Fourth Proportional to 425,433.47, 587,090.53 and 231,842.86

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Solution

The fourth proportional to 425,433.47, 587,090.53 and 231,842.86 is: 319,938.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,433.47 : 587,090.53 = 231,842.86 : x
  2. Step 2: Convert to fraction form
    425,433.47/587,090.53 = 231,842.86/x
  3. Step 3: Cross multiply
    425,433.47x = 587,090.53 × 231,842.86
  4. Step 4: Simplify right side
    425,433.47x = 136,112,746,376.19
  5. Step 5: Solve for x
    x = 136,112,746,376.19/425,433.47
  6. Step 6: Final answer
    x = 319,938.97

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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.