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Finding the Fourth Proportional to 298,514.07, 411,816.15 and 201,686.67

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Solution

The fourth proportional to 298,514.07, 411,816.15 and 201,686.67 is: 278,237.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,514.07 : 411,816.15 = 201,686.67 : x
  2. Step 2: Convert to fraction form
    298,514.07/411,816.15 = 201,686.67/x
  3. Step 3: Cross multiply
    298,514.07x = 411,816.15 × 201,686.67
  4. Step 4: Simplify right side
    298,514.07x = 83,057,827,945.72
  5. Step 5: Solve for x
    x = 83,057,827,945.72/298,514.07
  6. Step 6: Final answer
    x = 278,237.56

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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.