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Finding the Fourth Proportional to 1,314,974.34, 1,969,472.16 and 1,028,881.98

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Solution

The fourth proportional to 1,314,974.34, 1,969,472.16 and 1,028,881.98 is: 1,540,984.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314,974.34 : 1,969,472.16 = 1,028,881.98 : x
  2. Step 2: Convert to fraction form
    1,314,974.34/1,969,472.16 = 1,028,881.98/x
  3. Step 3: Cross multiply
    1,314,974.34x = 1,969,472.16 × 1,028,881.98
  4. Step 4: Simplify right side
    1,314,974.34x = 2,026,354,415,535.68
  5. Step 5: Solve for x
    x = 2,026,354,415,535.68/1,314,974.34
  6. Step 6: Final answer
    x = 1,540,984.00

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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.