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Finding the Fourth Proportional to 265,613, 398,497.53 and 78,629.36

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Solution

The fourth proportional to 265,613, 398,497.53 and 78,629.36 is: 117,967.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,613 : 398,497.53 = 78,629.36 : x
  2. Step 2: Convert to fraction form
    265,613/398,497.53 = 78,629.36/x
  3. Step 3: Cross multiply
    265,613x = 398,497.53 × 78,629.36
  4. Step 4: Simplify right side
    265,613x = 31,333,605,745.48
  5. Step 5: Solve for x
    x = 31,333,605,745.48/265,613
  6. Step 6: Final answer
    x = 117,967.14

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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.