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Finding the Fourth Proportional to 484,857.81, 727,401.20 and 152,433.81

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Solution

The fourth proportional to 484,857.81, 727,401.20 and 152,433.81 is: 228,686.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,857.81 : 727,401.20 = 152,433.81 : x
  2. Step 2: Convert to fraction form
    484,857.81/727,401.20 = 152,433.81/x
  3. Step 3: Cross multiply
    484,857.81x = 727,401.20 × 152,433.81
  4. Step 4: Simplify right side
    484,857.81x = 110,880,535,552.40
  5. Step 5: Solve for x
    x = 110,880,535,552.40/484,857.81
  6. Step 6: Final answer
    x = 228,686.71

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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.