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Finding the Fourth Proportional to 346,034.48, 477,493.80 and 200,817.68

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Solution

The fourth proportional to 346,034.48, 477,493.80 and 200,817.68 is: 277,108.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,034.48 : 477,493.80 = 200,817.68 : x
  2. Step 2: Convert to fraction form
    346,034.48/477,493.80 = 200,817.68/x
  3. Step 3: Cross multiply
    346,034.48x = 477,493.80 × 200,817.68
  4. Step 4: Simplify right side
    346,034.48x = 95,889,197,130.38
  5. Step 5: Solve for x
    x = 95,889,197,130.38/346,034.48
  6. Step 6: Final answer
    x = 277,108.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.