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Finding the Fourth Proportional to 561,473.96, 842,087.07 and 162,027.90

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Solution

The fourth proportional to 561,473.96, 842,087.07 and 162,027.90 is: 243,006.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,473.96 : 842,087.07 = 162,027.90 : x
  2. Step 2: Convert to fraction form
    561,473.96/842,087.07 = 162,027.90/x
  3. Step 3: Cross multiply
    561,473.96x = 842,087.07 × 162,027.90
  4. Step 4: Simplify right side
    561,473.96x = 136,441,599,569.25
  5. Step 5: Solve for x
    x = 136,441,599,569.25/561,473.96
  6. Step 6: Final answer
    x = 243,006.11

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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.