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Finding the Fourth Proportional to 525,678.66, 788,583.61 and 205,789.21

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Solution

The fourth proportional to 525,678.66, 788,583.61 and 205,789.21 is: 308,709.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,678.66 : 788,583.61 = 205,789.21 : x
  2. Step 2: Convert to fraction form
    525,678.66/788,583.61 = 205,789.21/x
  3. Step 3: Cross multiply
    525,678.66x = 788,583.61 × 205,789.21
  4. Step 4: Simplify right side
    525,678.66x = 162,281,998,120.85
  5. Step 5: Solve for x
    x = 162,281,998,120.85/525,678.66
  6. Step 6: Final answer
    x = 308,709.50

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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.