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Finding the Fourth Proportional to 399,004.68, 598,727.34 and 162,513.84

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Solution

The fourth proportional to 399,004.68, 598,727.34 and 162,513.84 is: 243,860.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,004.68 : 598,727.34 = 162,513.84 : x
  2. Step 2: Convert to fraction form
    399,004.68/598,727.34 = 162,513.84/x
  3. Step 3: Cross multiply
    399,004.68x = 598,727.34 × 162,513.84
  4. Step 4: Simplify right side
    399,004.68x = 97,301,479,136.39
  5. Step 5: Solve for x
    x = 97,301,479,136.39/399,004.68
  6. Step 6: Final answer
    x = 243,860.50

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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.