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Finding the Fourth Proportional to 333,322.94, 459,974.31 and 190,129.34

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Solution

The fourth proportional to 333,322.94, 459,974.31 and 190,129.34 is: 262,372.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,322.94 : 459,974.31 = 190,129.34 : x
  2. Step 2: Convert to fraction form
    333,322.94/459,974.31 = 190,129.34/x
  3. Step 3: Cross multiply
    333,322.94x = 459,974.31 × 190,129.34
  4. Step 4: Simplify right side
    333,322.94x = 87,454,611,977.26
  5. Step 5: Solve for x
    x = 87,454,611,977.26/333,322.94
  6. Step 6: Final answer
    x = 262,372.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.