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Finding the Fourth Proportional to 429,472.85, 643,366.58 and 349,596.72

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Solution

The fourth proportional to 429,472.85, 643,366.58 and 349,596.72 is: 523,709.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,472.85 : 643,366.58 = 349,596.72 : x
  2. Step 2: Convert to fraction form
    429,472.85/643,366.58 = 349,596.72/x
  3. Step 3: Cross multiply
    429,472.85x = 643,366.58 × 349,596.72
  4. Step 4: Simplify right side
    429,472.85x = 224,918,844,377.63
  5. Step 5: Solve for x
    x = 224,918,844,377.63/429,472.85
  6. Step 6: Final answer
    x = 523,709.12

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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.