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Finding the Fourth Proportional to 508,932.38, 702,413.08 and 294,196.93

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Solution

The fourth proportional to 508,932.38, 702,413.08 and 294,196.93 is: 406,041.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,932.38 : 702,413.08 = 294,196.93 : x
  2. Step 2: Convert to fraction form
    508,932.38/702,413.08 = 294,196.93/x
  3. Step 3: Cross multiply
    508,932.38x = 702,413.08 × 294,196.93
  4. Step 4: Simplify right side
    508,932.38x = 206,647,769,236.32
  5. Step 5: Solve for x
    x = 206,647,769,236.32/508,932.38
  6. Step 6: Final answer
    x = 406,041.70

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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.