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Finding the Fourth Proportional to 309,611.30, 464,417.35 and 84,974.81

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Solution

The fourth proportional to 309,611.30, 464,417.35 and 84,974.81 is: 127,462.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,611.30 : 464,417.35 = 84,974.81 : x
  2. Step 2: Convert to fraction form
    309,611.30/464,417.35 = 84,974.81/x
  3. Step 3: Cross multiply
    309,611.30x = 464,417.35 × 84,974.81
  4. Step 4: Simplify right side
    309,611.30x = 39,463,773,542.43
  5. Step 5: Solve for x
    x = 39,463,773,542.43/309,611.30
  6. Step 6: Final answer
    x = 127,462.32

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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.