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Finding the Fourth Proportional to 416,420, 574,659.60 and 237,568.16

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Solution

The fourth proportional to 416,420, 574,659.60 and 237,568.16 is: 327,844.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,420 : 574,659.60 = 237,568.16 : x
  2. Step 2: Convert to fraction form
    416,420/574,659.60 = 237,568.16/x
  3. Step 3: Cross multiply
    416,420x = 574,659.60 × 237,568.16
  4. Step 4: Simplify right side
    416,420x = 136,520,823,798.34
  5. Step 5: Solve for x
    x = 136,520,823,798.34/416,420
  6. Step 6: Final answer
    x = 327,844.06

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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.