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Finding the Fourth Proportional to 277,817.84, 416,119.80 and 170,876.24

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Solution

The fourth proportional to 277,817.84, 416,119.80 and 170,876.24 is: 255,941.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,817.84 : 416,119.80 = 170,876.24 : x
  2. Step 2: Convert to fraction form
    277,817.84/416,119.80 = 170,876.24/x
  3. Step 3: Cross multiply
    277,817.84x = 416,119.80 × 170,876.24
  4. Step 4: Simplify right side
    277,817.84x = 71,104,986,813.55
  5. Step 5: Solve for x
    x = 71,104,986,813.55/277,817.84
  6. Step 6: Final answer
    x = 255,941.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.