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Finding the Fourth Proportional to 353,778.84, 488,692.44 and 282,657.60

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Solution

The fourth proportional to 353,778.84, 488,692.44 and 282,657.60 is: 390,449.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,778.84 : 488,692.44 = 282,657.60 : x
  2. Step 2: Convert to fraction form
    353,778.84/488,692.44 = 282,657.60/x
  3. Step 3: Cross multiply
    353,778.84x = 488,692.44 × 282,657.60
  4. Step 4: Simplify right side
    353,778.84x = 138,132,632,228.54
  5. Step 5: Solve for x
    x = 138,132,632,228.54/353,778.84
  6. Step 6: Final answer
    x = 390,449.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.