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Finding the Fourth Proportional to 304,454.24, 420,136.52 and 168,494

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Solution

The fourth proportional to 304,454.24, 420,136.52 and 168,494 is: 232,516.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,454.24 : 420,136.52 = 168,494 : x
  2. Step 2: Convert to fraction form
    304,454.24/420,136.52 = 168,494/x
  3. Step 3: Cross multiply
    304,454.24x = 420,136.52 × 168,494
  4. Step 4: Simplify right side
    304,454.24x = 70,790,482,800.88
  5. Step 5: Solve for x
    x = 70,790,482,800.88/304,454.24
  6. Step 6: Final answer
    x = 232,516.00

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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.