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Finding the Fourth Proportional to 298,366.53, 411,754.50 and 162,409.25

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Solution

The fourth proportional to 298,366.53, 411,754.50 and 162,409.25 is: 224,129.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,366.53 : 411,754.50 = 162,409.25 : x
  2. Step 2: Convert to fraction form
    298,366.53/411,754.50 = 162,409.25/x
  3. Step 3: Cross multiply
    298,366.53x = 411,754.50 × 162,409.25
  4. Step 4: Simplify right side
    298,366.53x = 66,872,737,470.35
  5. Step 5: Solve for x
    x = 66,872,737,470.35/298,366.53
  6. Step 6: Final answer
    x = 224,129.49

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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.