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Finding the Fourth Proportional to 505,816.88, 758,141.64 and 190,071.92

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Solution

The fourth proportional to 505,816.88, 758,141.64 and 190,071.92 is: 284,888.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,816.88 : 758,141.64 = 190,071.92 : x
  2. Step 2: Convert to fraction form
    505,816.88/758,141.64 = 190,071.92/x
  3. Step 3: Cross multiply
    505,816.88x = 758,141.64 × 190,071.92
  4. Step 4: Simplify right side
    505,816.88x = 144,101,437,146.75
  5. Step 5: Solve for x
    x = 144,101,437,146.75/505,816.88
  6. Step 6: Final answer
    x = 284,888.55

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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.