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Finding the Fourth Proportional to 648,853.80, 973,353.60 and 199,571.10

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Solution

The fourth proportional to 648,853.80, 973,353.60 and 199,571.10 is: 299,379.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,853.80 : 973,353.60 = 199,571.10 : x
  2. Step 2: Convert to fraction form
    648,853.80/973,353.60 = 199,571.10/x
  3. Step 3: Cross multiply
    648,853.80x = 973,353.60 × 199,571.10
  4. Step 4: Simplify right side
    648,853.80x = 194,253,248,640.96
  5. Step 5: Solve for x
    x = 194,253,248,640.96/648,853.80
  6. Step 6: Final answer
    x = 299,379.07

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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.