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Finding the Fourth Proportional to 344,319.76, 515,368.60 and 177,878.80

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Solution

The fourth proportional to 344,319.76, 515,368.60 and 177,878.80 is: 266,244.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,319.76 : 515,368.60 = 177,878.80 : x
  2. Step 2: Convert to fraction form
    344,319.76/515,368.60 = 177,878.80/x
  3. Step 3: Cross multiply
    344,319.76x = 515,368.60 × 177,878.80
  4. Step 4: Simplify right side
    344,319.76x = 91,673,148,125.68
  5. Step 5: Solve for x
    x = 91,673,148,125.68/344,319.76
  6. Step 6: Final answer
    x = 266,244.23

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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.