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Finding the Fourth Proportional to 1,944,453.60, 2,912,014.80 and 946,015.20

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Solution

The fourth proportional to 1,944,453.60, 2,912,014.80 and 946,015.20 is: 1,416,752.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944,453.60 : 2,912,014.80 = 946,015.20 : x
  2. Step 2: Convert to fraction form
    1,944,453.60/2,912,014.80 = 946,015.20/x
  3. Step 3: Cross multiply
    1,944,453.60x = 2,912,014.80 × 946,015.20
  4. Step 4: Simplify right side
    1,944,453.60x = 2,754,810,263,424.96
  5. Step 5: Solve for x
    x = 2,754,810,263,424.96/1,944,453.60
  6. Step 6: Final answer
    x = 1,416,752.89

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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.