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Finding the Fourth Proportional to 489,413.02, 675,000.38 and 404,382.46

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Solution

The fourth proportional to 489,413.02, 675,000.38 and 404,382.46 is: 557,725.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,413.02 : 675,000.38 = 404,382.46 : x
  2. Step 2: Convert to fraction form
    489,413.02/675,000.38 = 404,382.46/x
  3. Step 3: Cross multiply
    489,413.02x = 675,000.38 × 404,382.46
  4. Step 4: Simplify right side
    489,413.02x = 272,958,314,165.34
  5. Step 5: Solve for x
    x = 272,958,314,165.34/489,413.02
  6. Step 6: Final answer
    x = 557,725.89

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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.