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Finding the Fourth Proportional to 561,614.94, 842,298.48 and 162,168.82

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Solution

The fourth proportional to 561,614.94, 842,298.48 and 162,168.82 is: 243,217.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,614.94 : 842,298.48 = 162,168.82 : x
  2. Step 2: Convert to fraction form
    561,614.94/842,298.48 = 162,168.82/x
  3. Step 3: Cross multiply
    561,614.94x = 842,298.48 × 162,168.82
  4. Step 4: Simplify right side
    561,614.94x = 136,594,548,483.65
  5. Step 5: Solve for x
    x = 136,594,548,483.65/561,614.94
  6. Step 6: Final answer
    x = 243,217.44

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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.