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Finding the Fourth Proportional to 283,543.54, 391,297.13 and 174,606.64

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Solution

The fourth proportional to 283,543.54, 391,297.13 and 174,606.64 is: 240,961.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,543.54 : 391,297.13 = 174,606.64 : x
  2. Step 2: Convert to fraction form
    283,543.54/391,297.13 = 174,606.64/x
  3. Step 3: Cross multiply
    283,543.54x = 391,297.13 × 174,606.64
  4. Step 4: Simplify right side
    283,543.54x = 68,323,075,914.44
  5. Step 5: Solve for x
    x = 68,323,075,914.44/283,543.54
  6. Step 6: Final answer
    x = 240,961.50

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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.