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Finding the Fourth Proportional to 395,516.96, 593,270.48 and 96,000

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Solution

The fourth proportional to 395,516.96, 593,270.48 and 96,000 is: 143,998.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,516.96 : 593,270.48 = 96,000 : x
  2. Step 2: Convert to fraction form
    395,516.96/593,270.48 = 96,000/x
  3. Step 3: Cross multiply
    395,516.96x = 593,270.48 × 96,000
  4. Step 4: Simplify right side
    395,516.96x = 56,953,966,080
  5. Step 5: Solve for x
    x = 56,953,966,080/395,516.96
  6. Step 6: Final answer
    x = 143,998.80

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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.