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Finding the Fourth Proportional to 416,224.42, 574,401.16 and 252,825.68

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Solution

The fourth proportional to 416,224.42, 574,401.16 and 252,825.68 is: 348,906.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,224.42 : 574,401.16 = 252,825.68 : x
  2. Step 2: Convert to fraction form
    416,224.42/574,401.16 = 252,825.68/x
  3. Step 3: Cross multiply
    416,224.42x = 574,401.16 × 252,825.68
  4. Step 4: Simplify right side
    416,224.42x = 145,223,363,869.79
  5. Step 5: Solve for x
    x = 145,223,363,869.79/416,224.42
  6. Step 6: Final answer
    x = 348,906.40

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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.