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Finding the Fourth Proportional to 433,718.15, 650,799.59 and 209,269.98

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Solution

The fourth proportional to 433,718.15, 650,799.59 and 209,269.98 is: 314,012.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,718.15 : 650,799.59 = 209,269.98 : x
  2. Step 2: Convert to fraction form
    433,718.15/650,799.59 = 209,269.98/x
  3. Step 3: Cross multiply
    433,718.15x = 650,799.59 × 209,269.98
  4. Step 4: Simplify right side
    433,718.15x = 136,192,816,136.96
  5. Step 5: Solve for x
    x = 136,192,816,136.96/433,718.15
  6. Step 6: Final answer
    x = 314,012.26

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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.