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Finding the Fourth Proportional to 404,849.40, 606,885.30 and 314,842.20

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Solution

The fourth proportional to 404,849.40, 606,885.30 and 314,842.20 is: 471,960.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,849.40 : 606,885.30 = 314,842.20 : x
  2. Step 2: Convert to fraction form
    404,849.40/606,885.30 = 314,842.20/x
  3. Step 3: Cross multiply
    404,849.40x = 606,885.30 × 314,842.20
  4. Step 4: Simplify right side
    404,849.40x = 191,073,102,999.66
  5. Step 5: Solve for x
    x = 191,073,102,999.66/404,849.40
  6. Step 6: Final answer
    x = 471,960.94

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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.