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Finding the Fourth Proportional to 467,686.87, 701,603.80 and 152,069.96

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Solution

The fourth proportional to 467,686.87, 701,603.80 and 152,069.96 is: 228,128.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,686.87 : 701,603.80 = 152,069.96 : x
  2. Step 2: Convert to fraction form
    467,686.87/701,603.80 = 152,069.96/x
  3. Step 3: Cross multiply
    467,686.87x = 701,603.80 × 152,069.96
  4. Step 4: Simplify right side
    467,686.87x = 106,692,863,175.68
  5. Step 5: Solve for x
    x = 106,692,863,175.68/467,686.87
  6. Step 6: Final answer
    x = 228,128.84

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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.