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Finding the Fourth Proportional to 1,764,000.10, 2,643,278.55 and 1,312,603.30

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Solution

The fourth proportional to 1,764,000.10, 2,643,278.55 and 1,312,603.30 is: 1,966,879.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764,000.10 : 2,643,278.55 = 1,312,603.30 : x
  2. Step 2: Convert to fraction form
    1,764,000.10/2,643,278.55 = 1,312,603.30/x
  3. Step 3: Cross multiply
    1,764,000.10x = 2,643,278.55 × 1,312,603.30
  4. Step 4: Simplify right side
    1,764,000.10x = 3,469,576,147,549.22
  5. Step 5: Solve for x
    x = 3,469,576,147,549.22/1,764,000.10
  6. Step 6: Final answer
    x = 1,966,879.79

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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.