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Finding the Fourth Proportional to 356,858.22, 535,094.13 and 164,524.95

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Solution

The fourth proportional to 356,858.22, 535,094.13 and 164,524.95 is: 246,698.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,858.22 : 535,094.13 = 164,524.95 : x
  2. Step 2: Convert to fraction form
    356,858.22/535,094.13 = 164,524.95/x
  3. Step 3: Cross multiply
    356,858.22x = 535,094.13 × 164,524.95
  4. Step 4: Simplify right side
    356,858.22x = 88,036,334,983.54
  5. Step 5: Solve for x
    x = 88,036,334,983.54/356,858.22
  6. Step 6: Final answer
    x = 246,698.35

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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.