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Finding the Fourth Proportional to 422,599.17, 633,898.76 and 256,037.25

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Solution

The fourth proportional to 422,599.17, 633,898.76 and 256,037.25 is: 384,055.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,599.17 : 633,898.76 = 256,037.25 : x
  2. Step 2: Convert to fraction form
    422,599.17/633,898.76 = 256,037.25/x
  3. Step 3: Cross multiply
    422,599.17x = 633,898.76 × 256,037.25
  4. Step 4: Simplify right side
    422,599.17x = 162,301,695,288.81
  5. Step 5: Solve for x
    x = 162,301,695,288.81/422,599.17
  6. Step 6: Final answer
    x = 384,055.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.