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Finding the Fourth Proportional to 416,497.64, 574,474.43 and 255,416.90

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Solution

The fourth proportional to 416,497.64, 574,474.43 and 255,416.90 is: 352,296.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,497.64 : 574,474.43 = 255,416.90 : x
  2. Step 2: Convert to fraction form
    416,497.64/574,474.43 = 255,416.90/x
  3. Step 3: Cross multiply
    416,497.64x = 574,474.43 × 255,416.90
  4. Step 4: Simplify right side
    416,497.64x = 146,730,475,806.04
  5. Step 5: Solve for x
    x = 146,730,475,806.04/416,497.64
  6. Step 6: Final answer
    x = 352,296.06

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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.