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Finding the Fourth Proportional to 305,024.60, 457,755.60 and 171,763.40

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Solution

The fourth proportional to 305,024.60, 457,755.60 and 171,763.40 is: 257,768.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,024.60 : 457,755.60 = 171,763.40 : x
  2. Step 2: Convert to fraction form
    305,024.60/457,755.60 = 171,763.40/x
  3. Step 3: Cross multiply
    305,024.60x = 457,755.60 × 171,763.40
  4. Step 4: Simplify right side
    305,024.60x = 78,625,658,225.04
  5. Step 5: Solve for x
    x = 78,625,658,225.04/305,024.60
  6. Step 6: Final answer
    x = 257,768.25

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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.