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Finding the Fourth Proportional to 314,648.08, 472,040.46 and 114,968.14

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Solution

The fourth proportional to 314,648.08, 472,040.46 and 114,968.14 is: 172,477.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,648.08 : 472,040.46 = 114,968.14 : x
  2. Step 2: Convert to fraction form
    314,648.08/472,040.46 = 114,968.14/x
  3. Step 3: Cross multiply
    314,648.08x = 472,040.46 × 114,968.14
  4. Step 4: Simplify right side
    314,648.08x = 54,269,613,690.94
  5. Step 5: Solve for x
    x = 54,269,613,690.94/314,648.08
  6. Step 6: Final answer
    x = 172,477.18

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Why These Related Problems?

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