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Finding the Fourth Proportional to 469,764.51, 704,621.66 and 166,137.63

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Solution

The fourth proportional to 469,764.51, 704,621.66 and 166,137.63 is: 249,197.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,764.51 : 704,621.66 = 166,137.63 : x
  2. Step 2: Convert to fraction form
    469,764.51/704,621.66 = 166,137.63/x
  3. Step 3: Cross multiply
    469,764.51x = 704,621.66 × 166,137.63
  4. Step 4: Simplify right side
    469,764.51x = 117,064,171,808.38
  5. Step 5: Solve for x
    x = 117,064,171,808.38/469,764.51
  6. Step 6: Final answer
    x = 249,197.56

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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.