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Finding the Fourth Proportional to 561,649.55, 842,477.93 and 224,718.35

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Solution

The fourth proportional to 561,649.55, 842,477.93 and 224,718.35 is: 337,078.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,649.55 : 842,477.93 = 224,718.35 : x
  2. Step 2: Convert to fraction form
    561,649.55/842,477.93 = 224,718.35/x
  3. Step 3: Cross multiply
    561,649.55x = 842,477.93 × 224,718.35
  4. Step 4: Simplify right side
    561,649.55x = 189,320,250,341.02
  5. Step 5: Solve for x
    x = 189,320,250,341.02/561,649.55
  6. Step 6: Final answer
    x = 337,078.97

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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.