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Finding the Fourth Proportional to 314,411.34, 433,896.72 and 171,173.82

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Solution

The fourth proportional to 314,411.34, 433,896.72 and 171,173.82 is: 236,224.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,411.34 : 433,896.72 = 171,173.82 : x
  2. Step 2: Convert to fraction form
    314,411.34/433,896.72 = 171,173.82/x
  3. Step 3: Cross multiply
    314,411.34x = 433,896.72 × 171,173.82
  4. Step 4: Simplify right side
    314,411.34x = 74,271,759,047.87
  5. Step 5: Solve for x
    x = 74,271,759,047.87/314,411.34
  6. Step 6: Final answer
    x = 236,224.81

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