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Finding the Fourth Proportional to 325,214.40, 487,893.28 and 97,500.94

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Solution

The fourth proportional to 325,214.40, 487,893.28 and 97,500.94 is: 146,272.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,214.40 : 487,893.28 = 97,500.94 : x
  2. Step 2: Convert to fraction form
    325,214.40/487,893.28 = 97,500.94/x
  3. Step 3: Cross multiply
    325,214.40x = 487,893.28 × 97,500.94
  4. Step 4: Simplify right side
    325,214.40x = 47,570,053,419.68
  5. Step 5: Solve for x
    x = 47,570,053,419.68/325,214.40
  6. Step 6: Final answer
    x = 146,272.90

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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.