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Finding the Fourth Proportional to 314,772.44, 434,373.32 and 171,529.41

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Solution

The fourth proportional to 314,772.44, 434,373.32 and 171,529.41 is: 236,703.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,772.44 : 434,373.32 = 171,529.41 : x
  2. Step 2: Convert to fraction form
    314,772.44/434,373.32 = 171,529.41/x
  3. Step 3: Cross multiply
    314,772.44x = 434,373.32 × 171,529.41
  4. Step 4: Simplify right side
    314,772.44x = 74,507,799,299.34
  5. Step 5: Solve for x
    x = 74,507,799,299.34/314,772.44
  6. Step 6: Final answer
    x = 236,703.69

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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.