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Finding the Fourth Proportional to 277,120.40, 382,393.65 and 156,254.49

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Solution

The fourth proportional to 277,120.40, 382,393.65 and 156,254.49 is: 215,612.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,120.40 : 382,393.65 = 156,254.49 : x
  2. Step 2: Convert to fraction form
    277,120.40/382,393.65 = 156,254.49/x
  3. Step 3: Cross multiply
    277,120.40x = 382,393.65 × 156,254.49
  4. Step 4: Simplify right side
    277,120.40x = 59,750,724,759.99
  5. Step 5: Solve for x
    x = 59,750,724,759.99/277,120.40
  6. Step 6: Final answer
    x = 215,612.87

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1.5x scale

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.