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Finding the Fourth Proportional to 310,792.53, 466,177.86 and 100,425

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Solution

The fourth proportional to 310,792.53, 466,177.86 and 100,425 is: 150,633.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,792.53 : 466,177.86 = 100,425 : x
  2. Step 2: Convert to fraction form
    310,792.53/466,177.86 = 100,425/x
  3. Step 3: Cross multiply
    310,792.53x = 466,177.86 × 100,425
  4. Step 4: Simplify right side
    310,792.53x = 46,815,911,590.50
  5. Step 5: Solve for x
    x = 46,815,911,590.50/310,792.53
  6. Step 6: Final answer
    x = 150,633.97

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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.