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Finding the Fourth Proportional to 685,816.50, 946,208.06 and 444,284.22

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Solution

The fourth proportional to 685,816.50, 946,208.06 and 444,284.22 is: 612,970.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,816.50 : 946,208.06 = 444,284.22 : x
  2. Step 2: Convert to fraction form
    685,816.50/946,208.06 = 444,284.22/x
  3. Step 3: Cross multiply
    685,816.50x = 946,208.06 × 444,284.22
  4. Step 4: Simplify right side
    685,816.50x = 420,385,309,894.81
  5. Step 5: Solve for x
    x = 420,385,309,894.81/685,816.50
  6. Step 6: Final answer
    x = 612,970.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.