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Finding the Fourth Proportional to 382,533.14, 573,865.32 and 116,320.16

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Solution

The fourth proportional to 382,533.14, 573,865.32 and 116,320.16 is: 174,500.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,533.14 : 573,865.32 = 116,320.16 : x
  2. Step 2: Convert to fraction form
    382,533.14/573,865.32 = 116,320.16/x
  3. Step 3: Cross multiply
    382,533.14x = 573,865.32 × 116,320.16
  4. Step 4: Simplify right side
    382,533.14x = 66,752,105,840.85
  5. Step 5: Solve for x
    x = 66,752,105,840.85/382,533.14
  6. Step 6: Final answer
    x = 174,500.19

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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.