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Finding the Fourth Proportional to 427,924.35, 590,176.80 and 274,987.44

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Solution

The fourth proportional to 427,924.35, 590,176.80 and 274,987.44 is: 379,252.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,924.35 : 590,176.80 = 274,987.44 : x
  2. Step 2: Convert to fraction form
    427,924.35/590,176.80 = 274,987.44/x
  3. Step 3: Cross multiply
    427,924.35x = 590,176.80 × 274,987.44
  4. Step 4: Simplify right side
    427,924.35x = 162,291,207,379.39
  5. Step 5: Solve for x
    x = 162,291,207,379.39/427,924.35
  6. Step 6: Final answer
    x = 379,252.10

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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.