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Finding the Fourth Proportional to 482,413.90, 665,772.06 and 267,623.16

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Solution

The fourth proportional to 482,413.90, 665,772.06 and 267,623.16 is: 369,342.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,413.90 : 665,772.06 = 267,623.16 : x
  2. Step 2: Convert to fraction form
    482,413.90/665,772.06 = 267,623.16/x
  3. Step 3: Cross multiply
    482,413.90x = 665,772.06 × 267,623.16
  4. Step 4: Simplify right side
    482,413.90x = 178,176,022,536.91
  5. Step 5: Solve for x
    x = 178,176,022,536.91/482,413.90
  6. Step 6: Final answer
    x = 369,342.64

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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.