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Finding the Fourth Proportional to 398,712.65, 598,462.63 and 174,228.03

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Solution

The fourth proportional to 398,712.65, 598,462.63 and 174,228.03 is: 261,514.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,712.65 : 598,462.63 = 174,228.03 : x
  2. Step 2: Convert to fraction form
    398,712.65/598,462.63 = 174,228.03/x
  3. Step 3: Cross multiply
    398,712.65x = 598,462.63 × 174,228.03
  4. Step 4: Simplify right side
    398,712.65x = 104,268,964,617.95
  5. Step 5: Solve for x
    x = 104,268,964,617.95/398,712.65
  6. Step 6: Final answer
    x = 261,514.07

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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.