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Finding the Fourth Proportional to 383,529.16, 575,552.94 and 134,213.32

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Solution

The fourth proportional to 383,529.16, 575,552.94 and 134,213.32 is: 201,410.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,529.16 : 575,552.94 = 134,213.32 : x
  2. Step 2: Convert to fraction form
    383,529.16/575,552.94 = 134,213.32/x
  3. Step 3: Cross multiply
    383,529.16x = 575,552.94 × 134,213.32
  4. Step 4: Simplify right side
    383,529.16x = 77,246,870,913.16
  5. Step 5: Solve for x
    x = 77,246,870,913.16/383,529.16
  6. Step 6: Final answer
    x = 201,410.69

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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.