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Finding the Fourth Proportional to 308,652.49, 465,292.14 and 288,077.60

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Solution

The fourth proportional to 308,652.49, 465,292.14 and 288,077.60 is: 434,275.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,652.49 : 465,292.14 = 288,077.60 : x
  2. Step 2: Convert to fraction form
    308,652.49/465,292.14 = 288,077.60/x
  3. Step 3: Cross multiply
    308,652.49x = 465,292.14 × 288,077.60
  4. Step 4: Simplify right side
    308,652.49x = 134,040,242,408.45
  5. Step 5: Solve for x
    x = 134,040,242,408.45/308,652.49
  6. Step 6: Final answer
    x = 434,275.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.