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Finding the Fourth Proportional to 325,221.84, 487,906.86 and 175,459.32

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Solution

The fourth proportional to 325,221.84, 487,906.86 and 175,459.32 is: 263,228.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,221.84 : 487,906.86 = 175,459.32 : x
  2. Step 2: Convert to fraction form
    325,221.84/487,906.86 = 175,459.32/x
  3. Step 3: Cross multiply
    325,221.84x = 487,906.86 × 175,459.32
  4. Step 4: Simplify right side
    325,221.84x = 85,607,805,878.94
  5. Step 5: Solve for x
    x = 85,607,805,878.94/325,221.84
  6. Step 6: Final answer
    x = 263,228.96

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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.