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Finding the Fourth Proportional to 325,442, 488,909.76 and 230,905.28

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Solution

The fourth proportional to 325,442, 488,909.76 and 230,905.28 is: 346,887.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,442 : 488,909.76 = 230,905.28 : x
  2. Step 2: Convert to fraction form
    325,442/488,909.76 = 230,905.28/x
  3. Step 3: Cross multiply
    325,442x = 488,909.76 × 230,905.28
  4. Step 4: Simplify right side
    325,442x = 112,891,845,027.53
  5. Step 5: Solve for x
    x = 112,891,845,027.53/325,442
  6. Step 6: Final answer
    x = 346,887.76

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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.