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Finding the Fourth Proportional to 277,411.80, 416,117.70 and 99,924.60

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Solution

The fourth proportional to 277,411.80, 416,117.70 and 99,924.60 is: 149,886.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,411.80 : 416,117.70 = 99,924.60 : x
  2. Step 2: Convert to fraction form
    277,411.80/416,117.70 = 99,924.60/x
  3. Step 3: Cross multiply
    277,411.80x = 416,117.70 × 99,924.60
  4. Step 4: Simplify right side
    277,411.80x = 41,580,394,725.42
  5. Step 5: Solve for x
    x = 41,580,394,725.42/277,411.80
  6. Step 6: Final answer
    x = 149,886.90

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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.