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Finding the Fourth Proportional to 277,280.49, 415,920.81 and 77,630.29

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Solution

The fourth proportional to 277,280.49, 415,920.81 and 77,630.29 is: 116,445.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,280.49 : 415,920.81 = 77,630.29 : x
  2. Step 2: Convert to fraction form
    277,280.49/415,920.81 = 77,630.29/x
  3. Step 3: Cross multiply
    277,280.49x = 415,920.81 × 77,630.29
  4. Step 4: Simplify right side
    277,280.49x = 32,288,053,097.33
  5. Step 5: Solve for x
    x = 32,288,053,097.33/277,280.49
  6. Step 6: Final answer
    x = 116,445.46

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1.5x scale

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.