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Finding the Fourth Proportional to 411,527.20, 617,024.40 and 174,805.60

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Solution

The fourth proportional to 411,527.20, 617,024.40 and 174,805.60 is: 262,095.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,527.20 : 617,024.40 = 174,805.60 : x
  2. Step 2: Convert to fraction form
    411,527.20/617,024.40 = 174,805.60/x
  3. Step 3: Cross multiply
    411,527.20x = 617,024.40 × 174,805.60
  4. Step 4: Simplify right side
    411,527.20x = 107,859,320,456.64
  5. Step 5: Solve for x
    x = 107,859,320,456.64/411,527.20
  6. Step 6: Final answer
    x = 262,095.24

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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.