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Finding the Fourth Proportional to 415,444.84, 622,717.98 and 165,852.52

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Solution

The fourth proportional to 415,444.84, 622,717.98 and 165,852.52 is: 248,599.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,444.84 : 622,717.98 = 165,852.52 : x
  2. Step 2: Convert to fraction form
    415,444.84/622,717.98 = 165,852.52/x
  3. Step 3: Cross multiply
    415,444.84x = 622,717.98 × 165,852.52
  4. Step 4: Simplify right side
    415,444.84x = 103,279,346,232.31
  5. Step 5: Solve for x
    x = 103,279,346,232.31/415,444.84
  6. Step 6: Final answer
    x = 248,599.42

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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.