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Finding the Fourth Proportional to 285,898.53, 428,849.28 and 96,360.55

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Solution

The fourth proportional to 285,898.53, 428,849.28 and 96,360.55 is: 144,541.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,898.53 : 428,849.28 = 96,360.55 : x
  2. Step 2: Convert to fraction form
    285,898.53/428,849.28 = 96,360.55/x
  3. Step 3: Cross multiply
    285,898.53x = 428,849.28 × 96,360.55
  4. Step 4: Simplify right side
    285,898.53x = 41,324,151,415.78
  5. Step 5: Solve for x
    x = 41,324,151,415.78/285,898.53
  6. Step 6: Final answer
    x = 144,541.32

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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.