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Finding the Fourth Proportional to 548,705.60, 823,058.40 and 174,766.40

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Solution

The fourth proportional to 548,705.60, 823,058.40 and 174,766.40 is: 262,149.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,705.60 : 823,058.40 = 174,766.40 : x
  2. Step 2: Convert to fraction form
    548,705.60/823,058.40 = 174,766.40/x
  3. Step 3: Cross multiply
    548,705.60x = 823,058.40 × 174,766.40
  4. Step 4: Simplify right side
    548,705.60x = 143,842,953,557.76
  5. Step 5: Solve for x
    x = 143,842,953,557.76/548,705.60
  6. Step 6: Final answer
    x = 262,149.60

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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.