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Finding the Fourth Proportional to 416,224.92, 574,416.40 and 234,967.56

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Solution

The fourth proportional to 416,224.92, 574,416.40 and 234,967.56 is: 324,269.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,224.92 : 574,416.40 = 234,967.56 : x
  2. Step 2: Convert to fraction form
    416,224.92/574,416.40 = 234,967.56/x
  3. Step 3: Cross multiply
    416,224.92x = 574,416.40 × 234,967.56
  4. Step 4: Simplify right side
    416,224.92x = 134,969,219,931.98
  5. Step 5: Solve for x
    x = 134,969,219,931.98/416,224.92
  6. Step 6: Final answer
    x = 324,269.92

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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.