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Finding the Fourth Proportional to 467,283, 701,423.54 and 201,175.48

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Solution

The fourth proportional to 467,283, 701,423.54 and 201,175.48 is: 301,978.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,283 : 701,423.54 = 201,175.48 : x
  2. Step 2: Convert to fraction form
    467,283/701,423.54 = 201,175.48/x
  3. Step 3: Cross multiply
    467,283x = 701,423.54 × 201,175.48
  4. Step 4: Simplify right side
    467,283x = 141,109,217,342.80
  5. Step 5: Solve for x
    x = 141,109,217,342.80/467,283
  6. Step 6: Final answer
    x = 301,978.07

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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.