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Finding the Fourth Proportional to 314,233.52, 433,566.64 and 185,177.27

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Solution

The fourth proportional to 314,233.52, 433,566.64 and 185,177.27 is: 255,500.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,233.52 : 433,566.64 = 185,177.27 : x
  2. Step 2: Convert to fraction form
    314,233.52/433,566.64 = 185,177.27/x
  3. Step 3: Cross multiply
    314,233.52x = 433,566.64 × 185,177.27
  4. Step 4: Simplify right side
    314,233.52x = 80,286,684,127.50
  5. Step 5: Solve for x
    x = 80,286,684,127.50/314,233.52
  6. Step 6: Final answer
    x = 255,500.07

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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.