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Finding the Fourth Proportional to 277,084.35, 382,368.72 and 156,224.58

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Solution

The fourth proportional to 277,084.35, 382,368.72 and 156,224.58 is: 215,585.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,084.35 : 382,368.72 = 156,224.58 : x
  2. Step 2: Convert to fraction form
    277,084.35/382,368.72 = 156,224.58/x
  3. Step 3: Cross multiply
    277,084.35x = 382,368.72 × 156,224.58
  4. Step 4: Simplify right side
    277,084.35x = 59,735,392,687.14
  5. Step 5: Solve for x
    x = 59,735,392,687.14/277,084.35
  6. Step 6: Final answer
    x = 215,585.59

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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.