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Finding the Fourth Proportional to 659,269.26, 909,792.09 and 357,463.26

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Solution

The fourth proportional to 659,269.26, 909,792.09 and 357,463.26 is: 493,299.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,269.26 : 909,792.09 = 357,463.26 : x
  2. Step 2: Convert to fraction form
    659,269.26/909,792.09 = 357,463.26/x
  3. Step 3: Cross multiply
    659,269.26x = 909,792.09 × 357,463.26
  4. Step 4: Simplify right side
    659,269.26x = 325,217,246,413.61
  5. Step 5: Solve for x
    x = 325,217,246,413.61/659,269.26
  6. Step 6: Final answer
    x = 493,299.58

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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.