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Finding the Fourth Proportional to 365,988.56, 505,064.13 and 204,843.60

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Solution

The fourth proportional to 365,988.56, 505,064.13 and 204,843.60 is: 282,684.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,988.56 : 505,064.13 = 204,843.60 : x
  2. Step 2: Convert to fraction form
    365,988.56/505,064.13 = 204,843.60/x
  3. Step 3: Cross multiply
    365,988.56x = 505,064.13 × 204,843.60
  4. Step 4: Simplify right side
    365,988.56x = 103,459,153,851.91
  5. Step 5: Solve for x
    x = 103,459,153,851.91/365,988.56
  6. Step 6: Final answer
    x = 282,684.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.