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Finding the Fourth Proportional to 365,812.86, 504,841.38 and 204,658.32

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Solution

The fourth proportional to 365,812.86, 504,841.38 and 204,658.32 is: 282,439.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,812.86 : 504,841.38 = 204,658.32 : x
  2. Step 2: Convert to fraction form
    365,812.86/504,841.38 = 204,658.32/x
  3. Step 3: Cross multiply
    365,812.86x = 504,841.38 × 204,658.32
  4. Step 4: Simplify right side
    365,812.86x = 103,319,988,697.28
  5. Step 5: Solve for x
    x = 103,319,988,697.28/365,812.86
  6. Step 6: Final answer
    x = 282,439.47

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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.