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Finding the Fourth Proportional to 314,321, 471,568.06 and 92,705

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Solution

The fourth proportional to 314,321, 471,568.06 and 92,705 is: 139,083.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,321 : 471,568.06 = 92,705 : x
  2. Step 2: Convert to fraction form
    314,321/471,568.06 = 92,705/x
  3. Step 3: Cross multiply
    314,321x = 471,568.06 × 92,705
  4. Step 4: Simplify right side
    314,321x = 43,716,717,002.30
  5. Step 5: Solve for x
    x = 43,716,717,002.30/314,321
  6. Step 6: Final answer
    x = 139,083.03

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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.