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Finding the Fourth Proportional to 314,248.14, 433,661.31 and 171,005.58

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Solution

The fourth proportional to 314,248.14, 433,661.31 and 171,005.58 is: 235,987.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,248.14 : 433,661.31 = 171,005.58 : x
  2. Step 2: Convert to fraction form
    314,248.14/433,661.31 = 171,005.58/x
  3. Step 3: Cross multiply
    314,248.14x = 433,661.31 × 171,005.58
  4. Step 4: Simplify right side
    314,248.14x = 74,158,503,840.11
  5. Step 5: Solve for x
    x = 74,158,503,840.11/314,248.14
  6. Step 6: Final answer
    x = 235,987.09

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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.