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Finding the Fourth Proportional to 285,871.77, 428,825.52 and 96,316.38

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Solution

The fourth proportional to 285,871.77, 428,825.52 and 96,316.38 is: 144,480.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,871.77 : 428,825.52 = 96,316.38 : x
  2. Step 2: Convert to fraction form
    285,871.77/428,825.52 = 96,316.38/x
  3. Step 3: Cross multiply
    285,871.77x = 428,825.52 × 96,316.38
  4. Step 4: Simplify right side
    285,871.77x = 41,302,921,738.02
  5. Step 5: Solve for x
    x = 41,302,921,738.02/285,871.77
  6. Step 6: Final answer
    x = 144,480.59

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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.