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Finding the Fourth Proportional to 561,642.30, 842,467.05 and 224,711.10

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Solution

The fourth proportional to 561,642.30, 842,467.05 and 224,711.10 is: 337,068.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,642.30 : 842,467.05 = 224,711.10 : x
  2. Step 2: Convert to fraction form
    561,642.30/842,467.05 = 224,711.10/x
  3. Step 3: Cross multiply
    561,642.30x = 842,467.05 × 224,711.10
  4. Step 4: Simplify right side
    561,642.30x = 189,311,697,519.26
  5. Step 5: Solve for x
    x = 189,311,697,519.26/561,642.30
  6. Step 6: Final answer
    x = 337,068.09

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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.