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Finding the Fourth Proportional to 316,782.30, 437,159.55 and 189,457.89

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Solution

The fourth proportional to 316,782.30, 437,159.55 and 189,457.89 is: 261,451.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,782.30 : 437,159.55 = 189,457.89 : x
  2. Step 2: Convert to fraction form
    316,782.30/437,159.55 = 189,457.89/x
  3. Step 3: Cross multiply
    316,782.30x = 437,159.55 × 189,457.89
  4. Step 4: Simplify right side
    316,782.30x = 82,823,325,936.35
  5. Step 5: Solve for x
    x = 82,823,325,936.35/316,782.30
  6. Step 6: Final answer
    x = 261,451.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.