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Finding the Fourth Proportional to 1,213,162.82, 1,819,977.54 and 465,150.50

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Solution

The fourth proportional to 1,213,162.82, 1,819,977.54 and 465,150.50 is: 697,815.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213,162.82 : 1,819,977.54 = 465,150.50 : x
  2. Step 2: Convert to fraction form
    1,213,162.82/1,819,977.54 = 465,150.50/x
  3. Step 3: Cross multiply
    1,213,162.82x = 1,819,977.54 × 465,150.50
  4. Step 4: Simplify right side
    1,213,162.82x = 846,563,462,719.77
  5. Step 5: Solve for x
    x = 846,563,462,719.77/1,213,162.82
  6. Step 6: Final answer
    x = 697,815.21

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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.