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Finding the Fourth Proportional to 429,305.40, 593,150.04 and 322,229.88

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Solution

The fourth proportional to 429,305.40, 593,150.04 and 322,229.88 is: 445,209.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,305.40 : 593,150.04 = 322,229.88 : x
  2. Step 2: Convert to fraction form
    429,305.40/593,150.04 = 322,229.88/x
  3. Step 3: Cross multiply
    429,305.40x = 593,150.04 × 322,229.88
  4. Step 4: Simplify right side
    429,305.40x = 191,130,666,211.20
  5. Step 5: Solve for x
    x = 191,130,666,211.20/429,305.40
  6. Step 6: Final answer
    x = 445,209.09

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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.