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Finding the Fourth Proportional to 313,827.64, 470,714.69 and 124,236.47

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Solution

The fourth proportional to 313,827.64, 470,714.69 and 124,236.47 is: 186,344.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,827.64 : 470,714.69 = 124,236.47 : x
  2. Step 2: Convert to fraction form
    313,827.64/470,714.69 = 124,236.47/x
  3. Step 3: Cross multiply
    313,827.64x = 470,714.69 × 124,236.47
  4. Step 4: Simplify right side
    313,827.64x = 58,479,932,950.12
  5. Step 5: Solve for x
    x = 58,479,932,950.12/313,827.64
  6. Step 6: Final answer
    x = 186,344.11

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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.