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Finding the Fourth Proportional to 398,129.88, 597,296.01 and 117,647.16

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Solution

The fourth proportional to 398,129.88, 597,296.01 and 117,647.16 is: 176,500.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,129.88 : 597,296.01 = 117,647.16 : x
  2. Step 2: Convert to fraction form
    398,129.88/597,296.01 = 117,647.16/x
  3. Step 3: Cross multiply
    398,129.88x = 597,296.01 × 117,647.16
  4. Step 4: Simplify right side
    398,129.88x = 70,270,179,255.83
  5. Step 5: Solve for x
    x = 70,270,179,255.83/398,129.88
  6. Step 6: Final answer
    x = 176,500.64

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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.