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Finding the Fourth Proportional to 398,970.80, 597,970.20 and 173,855.60

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Solution

The fourth proportional to 398,970.80, 597,970.20 and 173,855.60 is: 260,571.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,970.80 : 597,970.20 = 173,855.60 : x
  2. Step 2: Convert to fraction form
    398,970.80/597,970.20 = 173,855.60/x
  3. Step 3: Cross multiply
    398,970.80x = 597,970.20 × 173,855.60
  4. Step 4: Simplify right side
    398,970.80x = 103,960,467,903.12
  5. Step 5: Solve for x
    x = 103,960,467,903.12/398,970.80
  6. Step 6: Final answer
    x = 260,571.62

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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.