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Finding the Fourth Proportional to 416,170.81, 574,104.13 and 252,783.84

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Solution

The fourth proportional to 416,170.81, 574,104.13 and 252,783.84 is: 348,713.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,170.81 : 574,104.13 = 252,783.84 : x
  2. Step 2: Convert to fraction form
    416,170.81/574,104.13 = 252,783.84/x
  3. Step 3: Cross multiply
    416,170.81x = 574,104.13 × 252,783.84
  4. Step 4: Simplify right side
    416,170.81x = 145,124,246,541.26
  5. Step 5: Solve for x
    x = 145,124,246,541.26/416,170.81
  6. Step 6: Final answer
    x = 348,713.18

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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.