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Finding the Fourth Proportional to 465,798.81, 698,199.92 and 240,932.86

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Solution

The fourth proportional to 465,798.81, 698,199.92 and 240,932.86 is: 361,141.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,798.81 : 698,199.92 = 240,932.86 : x
  2. Step 2: Convert to fraction form
    465,798.81/698,199.92 = 240,932.86/x
  3. Step 3: Cross multiply
    465,798.81x = 698,199.92 × 240,932.86
  4. Step 4: Simplify right side
    465,798.81x = 168,219,301,530.71
  5. Step 5: Solve for x
    x = 168,219,301,530.71/465,798.81
  6. Step 6: Final answer
    x = 361,141.54

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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.