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Finding the Fourth Proportional to 285,954.67, 428,632.70 and 96,349.51

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Solution

The fourth proportional to 285,954.67, 428,632.70 and 96,349.51 is: 144,423.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,954.67 : 428,632.70 = 96,349.51 : x
  2. Step 2: Convert to fraction form
    285,954.67/428,632.70 = 96,349.51/x
  3. Step 3: Cross multiply
    285,954.67x = 428,632.70 × 96,349.51
  4. Step 4: Simplify right side
    285,954.67x = 41,298,550,614.98
  5. Step 5: Solve for x
    x = 41,298,550,614.98/285,954.67
  6. Step 6: Final answer
    x = 144,423.42

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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.