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Finding the Fourth Proportional to 484,490.50, 726,742.23 and 152,066.50

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Solution

The fourth proportional to 484,490.50, 726,742.23 and 152,066.50 is: 228,101.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,490.50 : 726,742.23 = 152,066.50 : x
  2. Step 2: Convert to fraction form
    484,490.50/726,742.23 = 152,066.50/x
  3. Step 3: Cross multiply
    484,490.50x = 726,742.23 × 152,066.50
  4. Step 4: Simplify right side
    484,490.50x = 110,513,147,318.30
  5. Step 5: Solve for x
    x = 110,513,147,318.30/484,490.50
  6. Step 6: Final answer
    x = 228,101.78

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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.