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Finding the Fourth Proportional to 414,651.60, 572,124.54 and 233,297.36

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Solution

The fourth proportional to 414,651.60, 572,124.54 and 233,297.36 is: 321,897.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,651.60 : 572,124.54 = 233,297.36 : x
  2. Step 2: Convert to fraction form
    414,651.60/572,124.54 = 233,297.36/x
  3. Step 3: Cross multiply
    414,651.60x = 572,124.54 × 233,297.36
  4. Step 4: Simplify right side
    414,651.60x = 133,475,144,612.66
  5. Step 5: Solve for x
    x = 133,475,144,612.66/414,651.60
  6. Step 6: Final answer
    x = 321,897.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.