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Finding the Fourth Proportional to 400,508.94, 600,821.73 and 120,048.06

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Solution

The fourth proportional to 400,508.94, 600,821.73 and 120,048.06 is: 180,089.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,508.94 : 600,821.73 = 120,048.06 : x
  2. Step 2: Convert to fraction form
    400,508.94/600,821.73 = 120,048.06/x
  3. Step 3: Cross multiply
    400,508.94x = 600,821.73 × 120,048.06
  4. Step 4: Simplify right side
    400,508.94x = 72,127,483,092.34
  5. Step 5: Solve for x
    x = 72,127,483,092.34/400,508.94
  6. Step 6: Final answer
    x = 180,089.57

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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.