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Finding the Fourth Proportional to 561,053.64, 842,105.34 and 277,064.87

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Solution

The fourth proportional to 561,053.64, 842,105.34 and 277,064.87 is: 415,856.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,053.64 : 842,105.34 = 277,064.87 : x
  2. Step 2: Convert to fraction form
    561,053.64/842,105.34 = 277,064.87/x
  3. Step 3: Cross multiply
    561,053.64x = 842,105.34 × 277,064.87
  4. Step 4: Simplify right side
    561,053.64x = 233,317,802,342.88
  5. Step 5: Solve for x
    x = 233,317,802,342.88/561,053.64
  6. Step 6: Final answer
    x = 415,856.50

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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.