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Finding the Fourth Proportional to 401,705.52, 554,343.78 and 224,893.76

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Solution

The fourth proportional to 401,705.52, 554,343.78 and 224,893.76 is: 310,347.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,705.52 : 554,343.78 = 224,893.76 : x
  2. Step 2: Convert to fraction form
    401,705.52/554,343.78 = 224,893.76/x
  3. Step 3: Cross multiply
    401,705.52x = 554,343.78 × 224,893.76
  4. Step 4: Simplify right side
    401,705.52x = 124,668,454,245.09
  5. Step 5: Solve for x
    x = 124,668,454,245.09/401,705.52
  6. Step 6: Final answer
    x = 310,347.87

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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.