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Finding the Fourth Proportional to 395,057.96, 592,113.18 and 202,734.59

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Solution

The fourth proportional to 395,057.96, 592,113.18 and 202,734.59 is: 303,858.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,057.96 : 592,113.18 = 202,734.59 : x
  2. Step 2: Convert to fraction form
    395,057.96/592,113.18 = 202,734.59/x
  3. Step 3: Cross multiply
    395,057.96x = 592,113.18 × 202,734.59
  4. Step 4: Simplify right side
    395,057.96x = 120,041,822,780.90
  5. Step 5: Solve for x
    x = 120,041,822,780.90/395,057.96
  6. Step 6: Final answer
    x = 303,858.77

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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.