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Finding the Fourth Proportional to 416,108.88, 574,818.12 and 331,117.20

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Solution

The fourth proportional to 416,108.88, 574,818.12 and 331,117.20 is: 457,409.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,108.88 : 574,818.12 = 331,117.20 : x
  2. Step 2: Convert to fraction form
    416,108.88/574,818.12 = 331,117.20/x
  3. Step 3: Cross multiply
    416,108.88x = 574,818.12 × 331,117.20
  4. Step 4: Simplify right side
    416,108.88x = 190,332,166,403.66
  5. Step 5: Solve for x
    x = 190,332,166,403.66/416,108.88
  6. Step 6: Final answer
    x = 457,409.53

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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.