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Finding the Fourth Proportional to 1,289,348.20, 1,933,354.84 and 578,764.36

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Solution

The fourth proportional to 1,289,348.20, 1,933,354.84 and 578,764.36 is: 867,846.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289,348.20 : 1,933,354.84 = 578,764.36 : x
  2. Step 2: Convert to fraction form
    1,289,348.20/1,933,354.84 = 578,764.36/x
  3. Step 3: Cross multiply
    1,289,348.20x = 1,933,354.84 × 578,764.36
  4. Step 4: Simplify right side
    1,289,348.20x = 1,118,956,876,625.50
  5. Step 5: Solve for x
    x = 1,118,956,876,625.50/1,289,348.20
  6. Step 6: Final answer
    x = 867,846.93

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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.