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Finding the Fourth Proportional to 432,915.76, 597,413.37 and 241,966

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Solution

The fourth proportional to 432,915.76, 597,413.37 and 241,966 is: 333,907.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,915.76 : 597,413.37 = 241,966 : x
  2. Step 2: Convert to fraction form
    432,915.76/597,413.37 = 241,966/x
  3. Step 3: Cross multiply
    432,915.76x = 597,413.37 × 241,966
  4. Step 4: Simplify right side
    432,915.76x = 144,553,723,485.42
  5. Step 5: Solve for x
    x = 144,553,723,485.42/432,915.76
  6. Step 6: Final answer
    x = 333,907.28

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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.