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Finding the Fourth Proportional to 525,699.11, 788,614.23 and 205,809.65

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Solution

The fourth proportional to 525,699.11, 788,614.23 and 205,809.65 is: 308,740.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,699.11 : 788,614.23 = 205,809.65 : x
  2. Step 2: Convert to fraction form
    525,699.11/788,614.23 = 205,809.65/x
  3. Step 3: Cross multiply
    525,699.11x = 788,614.23 × 205,809.65
  4. Step 4: Simplify right side
    525,699.11x = 162,304,414,718.25
  5. Step 5: Solve for x
    x = 162,304,414,718.25/525,699.11
  6. Step 6: Final answer
    x = 308,740.14

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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.