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Finding the Fourth Proportional to 337,291.81, 505,793.70 and 195,235.16

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Solution

The fourth proportional to 337,291.81, 505,793.70 and 195,235.16 is: 292,769.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,291.81 : 505,793.70 = 195,235.16 : x
  2. Step 2: Convert to fraction form
    337,291.81/505,793.70 = 195,235.16/x
  3. Step 3: Cross multiply
    337,291.81x = 505,793.70 × 195,235.16
  4. Step 4: Simplify right side
    337,291.81x = 98,748,711,417.52
  5. Step 5: Solve for x
    x = 98,748,711,417.52/337,291.81
  6. Step 6: Final answer
    x = 292,769.37

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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.