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Finding the Fourth Proportional to 561,309.45, 842,595.15 and 224,587.65

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Solution

The fourth proportional to 561,309.45, 842,595.15 and 224,587.65 is: 337,133.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,309.45 : 842,595.15 = 224,587.65 : x
  2. Step 2: Convert to fraction form
    561,309.45/842,595.15 = 224,587.65/x
  3. Step 3: Cross multiply
    561,309.45x = 842,595.15 × 224,587.65
  4. Step 4: Simplify right side
    561,309.45x = 189,236,464,639.90
  5. Step 5: Solve for x
    x = 189,236,464,639.90/561,309.45
  6. Step 6: Final answer
    x = 337,133.94

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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.