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Finding the Fourth Proportional to 408,913.53, 564,306.04 and 225,173.64

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Solution

The fourth proportional to 408,913.53, 564,306.04 and 225,173.64 is: 310,742.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,913.53 : 564,306.04 = 225,173.64 : x
  2. Step 2: Convert to fraction form
    408,913.53/564,306.04 = 225,173.64/x
  3. Step 3: Cross multiply
    408,913.53x = 564,306.04 × 225,173.64
  4. Step 4: Simplify right side
    408,913.53x = 127,066,844,324.18
  5. Step 5: Solve for x
    x = 127,066,844,324.18/408,913.53
  6. Step 6: Final answer
    x = 310,742.58

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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.