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Finding the Fourth Proportional to 484,972.56, 727,575.84 and 152,548.56

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Solution

The fourth proportional to 484,972.56, 727,575.84 and 152,548.56 is: 228,859.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,972.56 : 727,575.84 = 152,548.56 : x
  2. Step 2: Convert to fraction form
    484,972.56/727,575.84 = 152,548.56/x
  3. Step 3: Cross multiply
    484,972.56x = 727,575.84 × 152,548.56
  4. Step 4: Simplify right side
    484,972.56x = 110,990,646,682.79
  5. Step 5: Solve for x
    x = 110,990,646,682.79/484,972.56
  6. Step 6: Final answer
    x = 228,859.64

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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.