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Finding the Fourth Proportional to 464,562.30, 696,136.89 and 211,695.42

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Solution

The fourth proportional to 464,562.30, 696,136.89 and 211,695.42 is: 317,221.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,562.30 : 696,136.89 = 211,695.42 : x
  2. Step 2: Convert to fraction form
    464,562.30/696,136.89 = 211,695.42/x
  3. Step 3: Cross multiply
    464,562.30x = 696,136.89 × 211,695.42
  4. Step 4: Simplify right side
    464,562.30x = 147,368,991,306.04
  5. Step 5: Solve for x
    x = 147,368,991,306.04/464,562.30
  6. Step 6: Final answer
    x = 317,221.16

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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.