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Finding the Fourth Proportional to 574,129.40, 861,094.74 and 174,673.40

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Solution

The fourth proportional to 574,129.40, 861,094.74 and 174,673.40 is: 261,979.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,129.40 : 861,094.74 = 174,673.40 : x
  2. Step 2: Convert to fraction form
    574,129.40/861,094.74 = 174,673.40/x
  3. Step 3: Cross multiply
    574,129.40x = 861,094.74 × 174,673.40
  4. Step 4: Simplify right side
    574,129.40x = 150,410,345,957.92
  5. Step 5: Solve for x
    x = 150,410,345,957.92/574,129.40
  6. Step 6: Final answer
    x = 261,979.87

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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.