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Finding the Fourth Proportional to 351,542.76, 527,090.64 and 298,253.16

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Solution

The fourth proportional to 351,542.76, 527,090.64 and 298,253.16 is: 447,190.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,542.76 : 527,090.64 = 298,253.16 : x
  2. Step 2: Convert to fraction form
    351,542.76/527,090.64 = 298,253.16/x
  3. Step 3: Cross multiply
    351,542.76x = 527,090.64 × 298,253.16
  4. Step 4: Simplify right side
    351,542.76x = 157,206,448,986.42
  5. Step 5: Solve for x
    x = 157,206,448,986.42/351,542.76
  6. Step 6: Final answer
    x = 447,190.12

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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.