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Finding the Fourth Proportional to 315,103.36, 472,409.28 and 157,252.48

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Solution

The fourth proportional to 315,103.36, 472,409.28 and 157,252.48 is: 235,756.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,103.36 : 472,409.28 = 157,252.48 : x
  2. Step 2: Convert to fraction form
    315,103.36/472,409.28 = 157,252.48/x
  3. Step 3: Cross multiply
    315,103.36x = 472,409.28 × 157,252.48
  4. Step 4: Simplify right side
    315,103.36x = 74,287,530,855.01
  5. Step 5: Solve for x
    x = 74,287,530,855.01/315,103.36
  6. Step 6: Final answer
    x = 235,756.07

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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.