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Finding the Fourth Proportional to 429,952.62, 644,943.51 and 114,409.83

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Solution

The fourth proportional to 429,952.62, 644,943.51 and 114,409.83 is: 171,618.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,952.62 : 644,943.51 = 114,409.83 : x
  2. Step 2: Convert to fraction form
    429,952.62/644,943.51 = 114,409.83/x
  3. Step 3: Cross multiply
    429,952.62x = 644,943.51 × 114,409.83
  4. Step 4: Simplify right side
    429,952.62x = 73,787,877,338.70
  5. Step 5: Solve for x
    x = 73,787,877,338.70/429,952.62
  6. Step 6: Final answer
    x = 171,618.62

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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.