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Finding the Fourth Proportional to 277,586.64, 416,461.24 and 100,090.32

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Solution

The fourth proportional to 277,586.64, 416,461.24 and 100,090.32 is: 150,164.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,586.64 : 416,461.24 = 100,090.32 : x
  2. Step 2: Convert to fraction form
    277,586.64/416,461.24 = 100,090.32/x
  3. Step 3: Cross multiply
    277,586.64x = 416,461.24 × 100,090.32
  4. Step 4: Simplify right side
    277,586.64x = 41,683,738,779.20
  5. Step 5: Solve for x
    x = 41,683,738,779.20/277,586.64
  6. Step 6: Final answer
    x = 150,164.79

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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.