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Finding the Fourth Proportional to 365,816.86, 504,846.90 and 204,662.32

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Solution

The fourth proportional to 365,816.86, 504,846.90 and 204,662.32 is: 282,444.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,816.86 : 504,846.90 = 204,662.32 : x
  2. Step 2: Convert to fraction form
    365,816.86/504,846.90 = 204,662.32/x
  3. Step 3: Cross multiply
    365,816.86x = 504,846.90 × 204,662.32
  4. Step 4: Simplify right side
    365,816.86x = 103,323,137,798.81
  5. Step 5: Solve for x
    x = 103,323,137,798.81/365,816.86
  6. Step 6: Final answer
    x = 282,444.99

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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.