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Finding the Fourth Proportional to 277,083.85, 382,368.04 and 156,224.07

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Solution

The fourth proportional to 277,083.85, 382,368.04 and 156,224.07 is: 215,584.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,083.85 : 382,368.04 = 156,224.07 : x
  2. Step 2: Convert to fraction form
    277,083.85/382,368.04 = 156,224.07/x
  3. Step 3: Cross multiply
    277,083.85x = 382,368.04 × 156,224.07
  4. Step 4: Simplify right side
    277,083.85x = 59,735,091,446.72
  5. Step 5: Solve for x
    x = 59,735,091,446.72/277,083.85
  6. Step 6: Final answer
    x = 215,584.89

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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.