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Finding the Fourth Proportional to 561,668.30, 842,506.05 and 224,737.10

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Solution

The fourth proportional to 561,668.30, 842,506.05 and 224,737.10 is: 337,107.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,668.30 : 842,506.05 = 224,737.10 : x
  2. Step 2: Convert to fraction form
    561,668.30/842,506.05 = 224,737.10/x
  3. Step 3: Cross multiply
    561,668.30x = 842,506.05 × 224,737.10
  4. Step 4: Simplify right side
    561,668.30x = 189,342,366,409.46
  5. Step 5: Solve for x
    x = 189,342,366,409.46/561,668.30
  6. Step 6: Final answer
    x = 337,107.09

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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.