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Finding the Fourth Proportional to 314,328, 471,504.96 and 92,712

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Solution

The fourth proportional to 314,328, 471,504.96 and 92,712 is: 139,071.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,328 : 471,504.96 = 92,712 : x
  2. Step 2: Convert to fraction form
    314,328/471,504.96 = 92,712/x
  3. Step 3: Cross multiply
    314,328x = 471,504.96 × 92,712
  4. Step 4: Simplify right side
    314,328x = 43,714,167,851.52
  5. Step 5: Solve for x
    x = 43,714,167,851.52/314,328
  6. Step 6: Final answer
    x = 139,071.82

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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.