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Finding the Fourth Proportional to 1,294,856.70, 1,942,285.05 and 734,984.70

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Solution

The fourth proportional to 1,294,856.70, 1,942,285.05 and 734,984.70 is: 1,102,477.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,856.70 : 1,942,285.05 = 734,984.70 : x
  2. Step 2: Convert to fraction form
    1,294,856.70/1,942,285.05 = 734,984.70/x
  3. Step 3: Cross multiply
    1,294,856.70x = 1,942,285.05 × 734,984.70
  4. Step 4: Simplify right side
    1,294,856.70x = 1,427,549,794,788.74
  5. Step 5: Solve for x
    x = 1,427,549,794,788.74/1,294,856.70
  6. Step 6: Final answer
    x = 1,102,477.05

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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.