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Finding the Fourth Proportional to 314,322, 471,569.56 and 92,706

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Solution

The fourth proportional to 314,322, 471,569.56 and 92,706 is: 139,084.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,322 : 471,569.56 = 92,706 : x
  2. Step 2: Convert to fraction form
    314,322/471,569.56 = 92,706/x
  3. Step 3: Cross multiply
    314,322x = 471,569.56 × 92,706
  4. Step 4: Simplify right side
    314,322x = 43,717,327,629.36
  5. Step 5: Solve for x
    x = 43,717,327,629.36/314,322
  6. Step 6: Final answer
    x = 139,084.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.