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Finding the Fourth Proportional to 277,698.09, 416,266.61 and 109,336.55

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Solution

The fourth proportional to 277,698.09, 416,266.61 and 109,336.55 is: 163,894.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,698.09 : 416,266.61 = 109,336.55 : x
  2. Step 2: Convert to fraction form
    277,698.09/416,266.61 = 109,336.55/x
  3. Step 3: Cross multiply
    277,698.09x = 416,266.61 × 109,336.55
  4. Step 4: Simplify right side
    277,698.09x = 45,513,155,017.60
  5. Step 5: Solve for x
    x = 45,513,155,017.60/277,698.09
  6. Step 6: Final answer
    x = 163,894.38

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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.