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Finding the Fourth Proportional to 277,508.01, 416,006.86 and 99,971.60

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Solution

The fourth proportional to 277,508.01, 416,006.86 and 99,971.60 is: 149,865.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,508.01 : 416,006.86 = 99,971.60 : x
  2. Step 2: Convert to fraction form
    277,508.01/416,006.86 = 99,971.60/x
  3. Step 3: Cross multiply
    277,508.01x = 416,006.86 × 99,971.60
  4. Step 4: Simplify right side
    277,508.01x = 41,588,871,405.18
  5. Step 5: Solve for x
    x = 41,588,871,405.18/277,508.01
  6. Step 6: Final answer
    x = 149,865.48

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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.