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Finding the Fourth Proportional to 286,347.66, 395,357.50 and 178,965.96

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Solution

The fourth proportional to 286,347.66, 395,357.50 and 178,965.96 is: 247,096.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,347.66 : 395,357.50 = 178,965.96 : x
  2. Step 2: Convert to fraction form
    286,347.66/395,357.50 = 178,965.96/x
  3. Step 3: Cross multiply
    286,347.66x = 395,357.50 × 178,965.96
  4. Step 4: Simplify right side
    286,347.66x = 70,755,534,530.70
  5. Step 5: Solve for x
    x = 70,755,534,530.70/286,347.66
  6. Step 6: Final answer
    x = 247,096.60

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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.