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Finding the Fourth Proportional to 314,423.34, 433,903.56 and 171,182.14

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Solution

The fourth proportional to 314,423.34, 433,903.56 and 171,182.14 is: 236,231.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,423.34 : 433,903.56 = 171,182.14 : x
  2. Step 2: Convert to fraction form
    314,423.34/433,903.56 = 171,182.14/x
  3. Step 3: Cross multiply
    314,423.34x = 433,903.56 × 171,182.14
  4. Step 4: Simplify right side
    314,423.34x = 74,276,539,954.42
  5. Step 5: Solve for x
    x = 74,276,539,954.42/314,423.34
  6. Step 6: Final answer
    x = 236,231.00

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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.