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Finding the Fourth Proportional to 277,494.48, 382,943.55 and 150,170.08

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Solution

The fourth proportional to 277,494.48, 382,943.55 and 150,170.08 is: 207,235.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,494.48 : 382,943.55 = 150,170.08 : x
  2. Step 2: Convert to fraction form
    277,494.48/382,943.55 = 150,170.08/x
  3. Step 3: Cross multiply
    277,494.48x = 382,943.55 × 150,170.08
  4. Step 4: Simplify right side
    277,494.48x = 57,506,663,538.98
  5. Step 5: Solve for x
    x = 57,506,663,538.98/277,494.48
  6. Step 6: Final answer
    x = 207,235.34

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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.