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Finding the Fourth Proportional to 314,320, 471,566.56 and 92,704

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Solution

The fourth proportional to 314,320, 471,566.56 and 92,704 is: 139,081.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,320 : 471,566.56 = 92,704 : x
  2. Step 2: Convert to fraction form
    314,320/471,566.56 = 92,704/x
  3. Step 3: Cross multiply
    314,320x = 471,566.56 × 92,704
  4. Step 4: Simplify right side
    314,320x = 43,716,106,378.24
  5. Step 5: Solve for x
    x = 43,716,106,378.24/314,320
  6. Step 6: Final answer
    x = 139,081.53

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