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Finding the Fourth Proportional to 505,338.30, 757,566.81 and 189,710.46

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Solution

The fourth proportional to 505,338.30, 757,566.81 and 189,710.46 is: 284,400.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,338.30 : 757,566.81 = 189,710.46 : x
  2. Step 2: Convert to fraction form
    505,338.30/757,566.81 = 189,710.46/x
  3. Step 3: Cross multiply
    505,338.30x = 757,566.81 × 189,710.46
  4. Step 4: Simplify right side
    505,338.30x = 143,718,348,005.83
  5. Step 5: Solve for x
    x = 143,718,348,005.83/505,338.30
  6. Step 6: Final answer
    x = 284,400.27

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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.