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Finding the Fourth Proportional to 314,412.27, 433,875.31 and 171,172.81

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Solution

The fourth proportional to 314,412.27, 433,875.31 and 171,172.81 is: 236,211.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,412.27 : 433,875.31 = 171,172.81 : x
  2. Step 2: Convert to fraction form
    314,412.27/433,875.31 = 171,172.81/x
  3. Step 3: Cross multiply
    314,412.27x = 433,875.31 × 171,172.81
  4. Step 4: Simplify right side
    314,412.27x = 74,267,656,002.32
  5. Step 5: Solve for x
    x = 74,267,656,002.32/314,412.27
  6. Step 6: Final answer
    x = 236,211.06

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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.