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Finding the Fourth Proportional to 314,137.47, 433,272.14 and 217,503.06

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Solution

The fourth proportional to 314,137.47, 433,272.14 and 217,503.06 is: 299,989.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,137.47 : 433,272.14 = 217,503.06 : x
  2. Step 2: Convert to fraction form
    314,137.47/433,272.14 = 217,503.06/x
  3. Step 3: Cross multiply
    314,137.47x = 433,272.14 × 217,503.06
  4. Step 4: Simplify right side
    314,137.47x = 94,238,015,175.23
  5. Step 5: Solve for x
    x = 94,238,015,175.23/314,137.47
  6. Step 6: Final answer
    x = 299,989.73

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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.