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Finding the Fourth Proportional to 288,374.76, 432,737.64 and 110,897.28

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Solution

The fourth proportional to 288,374.76, 432,737.64 and 110,897.28 is: 166,413.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,374.76 : 432,737.64 = 110,897.28 : x
  2. Step 2: Convert to fraction form
    288,374.76/432,737.64 = 110,897.28/x
  3. Step 3: Cross multiply
    288,374.76x = 432,737.64 × 110,897.28
  4. Step 4: Simplify right side
    288,374.76x = 47,989,427,229.62
  5. Step 5: Solve for x
    x = 47,989,427,229.62/288,374.76
  6. Step 6: Final answer
    x = 166,413.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.