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Finding the Fourth Proportional to 401,095.80, 601,643.70 and 311,866.20

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Solution

The fourth proportional to 401,095.80, 601,643.70 and 311,866.20 is: 467,799.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,095.80 : 601,643.70 = 311,866.20 : x
  2. Step 2: Convert to fraction form
    401,095.80/601,643.70 = 311,866.20/x
  3. Step 3: Cross multiply
    401,095.80x = 601,643.70 × 311,866.20
  4. Step 4: Simplify right side
    401,095.80x = 187,632,334,472.94
  5. Step 5: Solve for x
    x = 187,632,334,472.94/401,095.80
  6. Step 6: Final answer
    x = 467,799.30

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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.