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Finding the Fourth Proportional to 308,064.02, 461,044.65 and 258,200.42

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Solution

The fourth proportional to 308,064.02, 461,044.65 and 258,200.42 is: 386,419.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,064.02 : 461,044.65 = 258,200.42 : x
  2. Step 2: Convert to fraction form
    308,064.02/461,044.65 = 258,200.42/x
  3. Step 3: Cross multiply
    308,064.02x = 461,044.65 × 258,200.42
  4. Step 4: Simplify right side
    308,064.02x = 119,041,922,268.75
  5. Step 5: Solve for x
    x = 119,041,922,268.75/308,064.02
  6. Step 6: Final answer
    x = 386,419.43

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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.