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Finding the Fourth Proportional to 401,744.61, 554,270.24 and 229,539.02

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Solution

The fourth proportional to 401,744.61, 554,270.24 and 229,539.02 is: 316,685.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,744.61 : 554,270.24 = 229,539.02 : x
  2. Step 2: Convert to fraction form
    401,744.61/554,270.24 = 229,539.02/x
  3. Step 3: Cross multiply
    401,744.61x = 554,270.24 × 229,539.02
  4. Step 4: Simplify right side
    401,744.61x = 127,226,645,507.26
  5. Step 5: Solve for x
    x = 127,226,645,507.26/401,744.61
  6. Step 6: Final answer
    x = 316,685.38

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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.