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Finding the Fourth Proportional to 345,896.48, 477,316.58 and 200,691.02

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Solution

The fourth proportional to 345,896.48, 477,316.58 and 200,691.02 is: 276,941.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,896.48 : 477,316.58 = 200,691.02 : x
  2. Step 2: Convert to fraction form
    345,896.48/477,316.58 = 200,691.02/x
  3. Step 3: Cross multiply
    345,896.48x = 477,316.58 × 200,691.02
  4. Step 4: Simplify right side
    345,896.48x = 95,793,147,913.07
  5. Step 5: Solve for x
    x = 95,793,147,913.07/345,896.48
  6. Step 6: Final answer
    x = 276,941.67

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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.