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Finding the Fourth Proportional to 277,497.47, 382,947.69 and 150,173.06

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Solution

The fourth proportional to 277,497.47, 382,947.69 and 150,173.06 is: 207,239.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,497.47 : 382,947.69 = 150,173.06 : x
  2. Step 2: Convert to fraction form
    277,497.47/382,947.69 = 150,173.06/x
  3. Step 3: Cross multiply
    277,497.47x = 382,947.69 × 150,173.06
  4. Step 4: Simplify right side
    277,497.47x = 57,508,424,512.49
  5. Step 5: Solve for x
    x = 57,508,424,512.49/277,497.47
  6. Step 6: Final answer
    x = 207,239.46

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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.