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Finding the Fourth Proportional to 322,578.86, 483,887.12 and 97,946.62

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Solution

The fourth proportional to 322,578.86, 483,887.12 and 97,946.62 is: 146,925.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,578.86 : 483,887.12 = 97,946.62 : x
  2. Step 2: Convert to fraction form
    322,578.86/483,887.12 = 97,946.62/x
  3. Step 3: Cross multiply
    322,578.86x = 483,887.12 × 97,946.62
  4. Step 4: Simplify right side
    322,578.86x = 47,395,106,166.08
  5. Step 5: Solve for x
    x = 47,395,106,166.08/322,578.86
  6. Step 6: Final answer
    x = 146,925.64

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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.