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Finding the Fourth Proportional to 401,053.30, 601,579.95 and 311,823.70

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Solution

The fourth proportional to 401,053.30, 601,579.95 and 311,823.70 is: 467,735.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,053.30 : 601,579.95 = 311,823.70 : x
  2. Step 2: Convert to fraction form
    401,053.30/601,579.95 = 311,823.70/x
  3. Step 3: Cross multiply
    401,053.30x = 601,579.95 × 311,823.70
  4. Step 4: Simplify right side
    401,053.30x = 187,586,885,854.82
  5. Step 5: Solve for x
    x = 187,586,885,854.82/401,053.30
  6. Step 6: Final answer
    x = 467,735.55

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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.