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Finding the Fourth Proportional to 398,208.52, 597,118.14 and 173,758.60

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Solution

The fourth proportional to 398,208.52, 597,118.14 and 173,758.60 is: 260,552.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,208.52 : 597,118.14 = 173,758.60 : x
  2. Step 2: Convert to fraction form
    398,208.52/597,118.14 = 173,758.60/x
  3. Step 3: Cross multiply
    398,208.52x = 597,118.14 × 173,758.60
  4. Step 4: Simplify right side
    398,208.52x = 103,754,412,041.00
  5. Step 5: Solve for x
    x = 103,754,412,041.00/398,208.52
  6. Step 6: Final answer
    x = 260,552.97

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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.