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Finding the Fourth Proportional to 366,287.32, 505,470.54 and 205,141.06

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Solution

The fourth proportional to 366,287.32, 505,470.54 and 205,141.06 is: 283,091.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,287.32 : 505,470.54 = 205,141.06 : x
  2. Step 2: Convert to fraction form
    366,287.32/505,470.54 = 205,141.06/x
  3. Step 3: Cross multiply
    366,287.32x = 505,470.54 × 205,141.06
  4. Step 4: Simplify right side
    366,287.32x = 103,692,762,374.37
  5. Step 5: Solve for x
    x = 103,692,762,374.37/366,287.32
  6. Step 6: Final answer
    x = 283,091.32

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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.