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Finding the Fourth Proportional to 421,907.46, 582,227.86 and 228,310.93

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Solution

The fourth proportional to 421,907.46, 582,227.86 and 228,310.93 is: 315,066.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,907.46 : 582,227.86 = 228,310.93 : x
  2. Step 2: Convert to fraction form
    421,907.46/582,227.86 = 228,310.93/x
  3. Step 3: Cross multiply
    421,907.46x = 582,227.86 × 228,310.93
  4. Step 4: Simplify right side
    421,907.46x = 132,928,984,188.51
  5. Step 5: Solve for x
    x = 132,928,984,188.51/421,907.46
  6. Step 6: Final answer
    x = 315,066.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.