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Finding the Fourth Proportional to 322,483.17, 483,725.79 and 97,845.47

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Solution

The fourth proportional to 322,483.17, 483,725.79 and 97,845.47 is: 146,768.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,483.17 : 483,725.79 = 97,845.47 : x
  2. Step 2: Convert to fraction form
    322,483.17/483,725.79 = 97,845.47/x
  3. Step 3: Cross multiply
    322,483.17x = 483,725.79 × 97,845.47
  4. Step 4: Simplify right side
    322,483.17x = 47,330,376,256.23
  5. Step 5: Solve for x
    x = 47,330,376,256.23/322,483.17
  6. Step 6: Final answer
    x = 146,768.51

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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.