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Finding the Fourth Proportional to 414,719.80, 572,332.08 and 233,494

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Solution

The fourth proportional to 414,719.80, 572,332.08 and 233,494 is: 322,232.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,719.80 : 572,332.08 = 233,494 : x
  2. Step 2: Convert to fraction form
    414,719.80/572,332.08 = 233,494/x
  3. Step 3: Cross multiply
    414,719.80x = 572,332.08 × 233,494
  4. Step 4: Simplify right side
    414,719.80x = 133,636,106,687.52
  5. Step 5: Solve for x
    x = 133,636,106,687.52/414,719.80
  6. Step 6: Final answer
    x = 322,232.28

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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.