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Finding the Fourth Proportional to 313,054.50, 469,581.76 and 146,842.50

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Solution

The fourth proportional to 313,054.50, 469,581.76 and 146,842.50 is: 220,263.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,054.50 : 469,581.76 = 146,842.50 : x
  2. Step 2: Convert to fraction form
    313,054.50/469,581.76 = 146,842.50/x
  3. Step 3: Cross multiply
    313,054.50x = 469,581.76 × 146,842.50
  4. Step 4: Simplify right side
    313,054.50x = 68,954,559,592.80
  5. Step 5: Solve for x
    x = 68,954,559,592.80/313,054.50
  6. Step 6: Final answer
    x = 220,263.75

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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.