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Finding the Fourth Proportional to 285,151.76, 428,281.22 and 209,975

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Solution

The fourth proportional to 285,151.76, 428,281.22 and 209,975 is: 315,370.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,151.76 : 428,281.22 = 209,975 : x
  2. Step 2: Convert to fraction form
    285,151.76/428,281.22 = 209,975/x
  3. Step 3: Cross multiply
    285,151.76x = 428,281.22 × 209,975
  4. Step 4: Simplify right side
    285,151.76x = 89,928,349,169.50
  5. Step 5: Solve for x
    x = 89,928,349,169.50/285,151.76
  6. Step 6: Final answer
    x = 315,370.14

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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.