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Finding the Fourth Proportional to 277,506.47, 382,958.93 and 150,182.07

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Solution

The fourth proportional to 277,506.47, 382,958.93 and 150,182.07 is: 207,251.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,506.47 : 382,958.93 = 150,182.07 : x
  2. Step 2: Convert to fraction form
    277,506.47/382,958.93 = 150,182.07/x
  3. Step 3: Cross multiply
    277,506.47x = 382,958.93 × 150,182.07
  4. Step 4: Simplify right side
    277,506.47x = 57,513,562,593.76
  5. Step 5: Solve for x
    x = 57,513,562,593.76/277,506.47
  6. Step 6: Final answer
    x = 207,251.25

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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.