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Finding the Fourth Proportional to 277,184.42, 382,491.59 and 156,355.40

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Solution

The fourth proportional to 277,184.42, 382,491.59 and 156,355.40 is: 215,757.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,184.42 : 382,491.59 = 156,355.40 : x
  2. Step 2: Convert to fraction form
    277,184.42/382,491.59 = 156,355.40/x
  3. Step 3: Cross multiply
    277,184.42x = 382,491.59 × 156,355.40
  4. Step 4: Simplify right side
    277,184.42x = 59,804,624,769.31
  5. Step 5: Solve for x
    x = 59,804,624,769.31/277,184.42
  6. Step 6: Final answer
    x = 215,757.53

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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.