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Finding the Fourth Proportional to 561,842.48, 842,788.32 and 162,523.61

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Solution

The fourth proportional to 561,842.48, 842,788.32 and 162,523.61 is: 243,792.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,842.48 : 842,788.32 = 162,523.61 : x
  2. Step 2: Convert to fraction form
    561,842.48/842,788.32 = 162,523.61/x
  3. Step 3: Cross multiply
    561,842.48x = 842,788.32 × 162,523.61
  4. Step 4: Simplify right side
    561,842.48x = 136,973,000,232.24
  5. Step 5: Solve for x
    x = 136,973,000,232.24/561,842.48
  6. Step 6: Final answer
    x = 243,792.53

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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.