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Finding the Fourth Proportional to 322,348, 483,609.50 and 97,715.77

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Solution

The fourth proportional to 322,348, 483,609.50 and 97,715.77 is: 146,600.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,348 : 483,609.50 = 97,715.77 : x
  2. Step 2: Convert to fraction form
    322,348/483,609.50 = 97,715.77/x
  3. Step 3: Cross multiply
    322,348x = 483,609.50 × 97,715.77
  4. Step 4: Simplify right side
    322,348x = 47,256,274,671.82
  5. Step 5: Solve for x
    x = 47,256,274,671.82/322,348
  6. Step 6: Final answer
    x = 146,600.18

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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.