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Finding the Fourth Proportional to 582,843.84, 804,413.76 and 353,438.40

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Solution

The fourth proportional to 582,843.84, 804,413.76 and 353,438.40 is: 487,799.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,843.84 : 804,413.76 = 353,438.40 : x
  2. Step 2: Convert to fraction form
    582,843.84/804,413.76 = 353,438.40/x
  3. Step 3: Cross multiply
    582,843.84x = 804,413.76 × 353,438.40
  4. Step 4: Simplify right side
    582,843.84x = 284,310,712,272.38
  5. Step 5: Solve for x
    x = 284,310,712,272.38/582,843.84
  6. Step 6: Final answer
    x = 487,799.12

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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.