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Finding the Fourth Proportional to 411,573.20, 617,359.80 and 174,923.60

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Solution

The fourth proportional to 411,573.20, 617,359.80 and 174,923.60 is: 262,385.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,573.20 : 617,359.80 = 174,923.60 : x
  2. Step 2: Convert to fraction form
    411,573.20/617,359.80 = 174,923.60/x
  3. Step 3: Cross multiply
    411,573.20x = 617,359.80 × 174,923.60
  4. Step 4: Simplify right side
    411,573.20x = 107,990,798,711.28
  5. Step 5: Solve for x
    x = 107,990,798,711.28/411,573.20
  6. Step 6: Final answer
    x = 262,385.40

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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.