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Finding the Fourth Proportional to 277,692.64, 383,215.16 and 150,368.22

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Solution

The fourth proportional to 277,692.64, 383,215.16 and 150,368.22 is: 207,507.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,692.64 : 383,215.16 = 150,368.22 : x
  2. Step 2: Convert to fraction form
    277,692.64/383,215.16 = 150,368.22/x
  3. Step 3: Cross multiply
    277,692.64x = 383,215.16 × 150,368.22
  4. Step 4: Simplify right side
    277,692.64x = 57,623,381,862.14
  5. Step 5: Solve for x
    x = 57,623,381,862.14/277,692.64
  6. Step 6: Final answer
    x = 207,507.78

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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.