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Finding the Fourth Proportional to 473,029.56, 709,467.63 and 135,993.42

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Solution

The fourth proportional to 473,029.56, 709,467.63 and 135,993.42 is: 203,968.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,029.56 : 709,467.63 = 135,993.42 : x
  2. Step 2: Convert to fraction form
    473,029.56/709,467.63 = 135,993.42/x
  3. Step 3: Cross multiply
    473,029.56x = 709,467.63 × 135,993.42
  4. Step 4: Simplify right side
    473,029.56x = 96,482,929,382.99
  5. Step 5: Solve for x
    x = 96,482,929,382.99/473,029.56
  6. Step 6: Final answer
    x = 203,968.08

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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.