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Finding the Fourth Proportional to 461,388.60, 691,836.12 and 236,657.16

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Solution

The fourth proportional to 461,388.60, 691,836.12 and 236,657.16 is: 354,859.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,388.60 : 691,836.12 = 236,657.16 : x
  2. Step 2: Convert to fraction form
    461,388.60/691,836.12 = 236,657.16/x
  3. Step 3: Cross multiply
    461,388.60x = 691,836.12 × 236,657.16
  4. Step 4: Simplify right side
    461,388.60x = 163,727,971,344.62
  5. Step 5: Solve for x
    x = 163,727,971,344.62/461,388.60
  6. Step 6: Final answer
    x = 354,859.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.