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Finding the Fourth Proportional to 314,714.16, 471,449.16 and 148,618.80

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Solution

The fourth proportional to 314,714.16, 471,449.16 and 148,618.80 is: 222,634.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,714.16 : 471,449.16 = 148,618.80 : x
  2. Step 2: Convert to fraction form
    314,714.16/471,449.16 = 148,618.80/x
  3. Step 3: Cross multiply
    314,714.16x = 471,449.16 × 148,618.80
  4. Step 4: Simplify right side
    314,714.16x = 70,066,208,420.21
  5. Step 5: Solve for x
    x = 70,066,208,420.21/314,714.16
  6. Step 6: Final answer
    x = 222,634.43

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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.