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Finding the Fourth Proportional to 382,413.84, 527,731.54 and 212,644.32

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Solution

The fourth proportional to 382,413.84, 527,731.54 and 212,644.32 is: 293,449.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,413.84 : 527,731.54 = 212,644.32 : x
  2. Step 2: Convert to fraction form
    382,413.84/527,731.54 = 212,644.32/x
  3. Step 3: Cross multiply
    382,413.84x = 527,731.54 × 212,644.32
  4. Step 4: Simplify right side
    382,413.84x = 112,219,113,934.24
  5. Step 5: Solve for x
    x = 112,219,113,934.24/382,413.84
  6. Step 6: Final answer
    x = 293,449.41

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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.