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Finding the Fourth Proportional to 525,773.14, 788,343.83 and 205,543.61

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Solution

The fourth proportional to 525,773.14, 788,343.83 and 205,543.61 is: 308,191.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,773.14 : 788,343.83 = 205,543.61 : x
  2. Step 2: Convert to fraction form
    525,773.14/788,343.83 = 205,543.61/x
  3. Step 3: Cross multiply
    525,773.14x = 788,343.83 × 205,543.61
  4. Step 4: Simplify right side
    525,773.14x = 162,039,036,739.43
  5. Step 5: Solve for x
    x = 162,039,036,739.43/525,773.14
  6. Step 6: Final answer
    x = 308,191.93

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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.