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Finding the Fourth Proportional to 416,141.09, 574,213.13 and 252,712.61

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Solution

The fourth proportional to 416,141.09, 574,213.13 and 252,712.61 is: 348,706.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,141.09 : 574,213.13 = 252,712.61 : x
  2. Step 2: Convert to fraction form
    416,141.09/574,213.13 = 252,712.61/x
  3. Step 3: Cross multiply
    416,141.09x = 574,213.13 × 252,712.61
  4. Step 4: Simplify right side
    416,141.09x = 145,110,894,643.94
  5. Step 5: Solve for x
    x = 145,110,894,643.94/416,141.09
  6. Step 6: Final answer
    x = 348,706.00

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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.