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Finding the Fourth Proportional to 484,859.56, 727,403.84 and 152,435.56

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Solution

The fourth proportional to 484,859.56, 727,403.84 and 152,435.56 is: 228,689.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,859.56 : 727,403.84 = 152,435.56 : x
  2. Step 2: Convert to fraction form
    484,859.56/727,403.84 = 152,435.56/x
  3. Step 3: Cross multiply
    484,859.56x = 727,403.84 × 152,435.56
  4. Step 4: Simplify right side
    484,859.56x = 110,882,211,696.55
  5. Step 5: Solve for x
    x = 110,882,211,696.55/484,859.56
  6. Step 6: Final answer
    x = 228,689.34

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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.