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Finding the Fourth Proportional to 467,929.92, 701,652 and 201,543.84

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Solution

The fourth proportional to 467,929.92, 701,652 and 201,543.84 is: 302,211.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,929.92 : 701,652 = 201,543.84 : x
  2. Step 2: Convert to fraction form
    467,929.92/701,652 = 201,543.84/x
  3. Step 3: Cross multiply
    467,929.92x = 701,652 × 201,543.84
  4. Step 4: Simplify right side
    467,929.92x = 141,413,638,423.68
  5. Step 5: Solve for x
    x = 141,413,638,423.68/467,929.92
  6. Step 6: Final answer
    x = 302,211.15

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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.