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Finding the Fourth Proportional to 521,147.52, 719,176.73 and 294,793.02

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Solution

The fourth proportional to 521,147.52, 719,176.73 and 294,793.02 is: 406,810.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,147.52 : 719,176.73 = 294,793.02 : x
  2. Step 2: Convert to fraction form
    521,147.52/719,176.73 = 294,793.02/x
  3. Step 3: Cross multiply
    521,147.52x = 719,176.73 × 294,793.02
  4. Step 4: Simplify right side
    521,147.52x = 212,008,278,676.46
  5. Step 5: Solve for x
    x = 212,008,278,676.46/521,147.52
  6. Step 6: Final answer
    x = 406,810.49

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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.