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Finding the Fourth Proportional to 429,306.40, 593,151.42 and 322,230.88

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Solution

The fourth proportional to 429,306.40, 593,151.42 and 322,230.88 is: 445,210.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,306.40 : 593,151.42 = 322,230.88 : x
  2. Step 2: Convert to fraction form
    429,306.40/593,151.42 = 322,230.88/x
  3. Step 3: Cross multiply
    429,306.40x = 593,151.42 × 322,230.88
  4. Step 4: Simplify right side
    429,306.40x = 191,131,704,039.85
  5. Step 5: Solve for x
    x = 191,131,704,039.85/429,306.40
  6. Step 6: Final answer
    x = 445,210.47

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1.5x scale

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.