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Finding the Fourth Proportional to 501,024, 691,413.16 and 274,671.12

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Solution

The fourth proportional to 501,024, 691,413.16 and 274,671.12 is: 379,046.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,024 : 691,413.16 = 274,671.12 : x
  2. Step 2: Convert to fraction form
    501,024/691,413.16 = 274,671.12/x
  3. Step 3: Cross multiply
    501,024x = 691,413.16 × 274,671.12
  4. Step 4: Simplify right side
    501,024x = 189,911,227,039.94
  5. Step 5: Solve for x
    x = 189,911,227,039.94/501,024
  6. Step 6: Final answer
    x = 379,046.17

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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.