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Finding the Fourth Proportional to 504,188.17, 695,736.86 and 289,323.63

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Solution

The fourth proportional to 504,188.17, 695,736.86 and 289,323.63 is: 399,242.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,188.17 : 695,736.86 = 289,323.63 : x
  2. Step 2: Convert to fraction form
    504,188.17/695,736.86 = 289,323.63/x
  3. Step 3: Cross multiply
    504,188.17x = 695,736.86 × 289,323.63
  4. Step 4: Simplify right side
    504,188.17x = 201,293,112,413.38
  5. Step 5: Solve for x
    x = 201,293,112,413.38/504,188.17
  6. Step 6: Final answer
    x = 399,242.04

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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.