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Finding the Fourth Proportional to 314,785.09, 434,390.78 and 171,542.05

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Solution

The fourth proportional to 314,785.09, 434,390.78 and 171,542.05 is: 236,721.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,785.09 : 434,390.78 = 171,542.05 : x
  2. Step 2: Convert to fraction form
    314,785.09/434,390.78 = 171,542.05/x
  3. Step 3: Cross multiply
    314,785.09x = 434,390.78 × 171,542.05
  4. Step 4: Simplify right side
    314,785.09x = 74,516,281,872.63
  5. Step 5: Solve for x
    x = 74,516,281,872.63/314,785.09
  6. Step 6: Final answer
    x = 236,721.13

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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.