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Finding the Fourth Proportional to 277,497.48, 382,947.72 and 150,173.07

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Solution

The fourth proportional to 277,497.48, 382,947.72 and 150,173.07 is: 207,239.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,497.48 : 382,947.72 = 150,173.07 : x
  2. Step 2: Convert to fraction form
    277,497.48/382,947.72 = 150,173.07/x
  3. Step 3: Cross multiply
    277,497.48x = 382,947.72 × 150,173.07
  4. Step 4: Simplify right side
    277,497.48x = 57,508,434,761.90
  5. Step 5: Solve for x
    x = 57,508,434,761.90/277,497.48
  6. Step 6: Final answer
    x = 207,239.48

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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.