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Finding the Fourth Proportional to 277,489.54, 416,237.46 and 97,580.32

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Solution

The fourth proportional to 277,489.54, 416,237.46 and 97,580.32 is: 146,371.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,489.54 : 416,237.46 = 97,580.32 : x
  2. Step 2: Convert to fraction form
    277,489.54/416,237.46 = 97,580.32/x
  3. Step 3: Cross multiply
    277,489.54x = 416,237.46 × 97,580.32
  4. Step 4: Simplify right side
    277,489.54x = 40,616,583,136.27
  5. Step 5: Solve for x
    x = 40,616,583,136.27/277,489.54
  6. Step 6: Final answer
    x = 146,371.58

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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.