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Finding the Fourth Proportional to 471,246.58, 650,313.13 and 256,381.74

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Solution

The fourth proportional to 471,246.58, 650,313.13 and 256,381.74 is: 353,802.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,246.58 : 650,313.13 = 256,381.74 : x
  2. Step 2: Convert to fraction form
    471,246.58/650,313.13 = 256,381.74/x
  3. Step 3: Cross multiply
    471,246.58x = 650,313.13 × 256,381.74
  4. Step 4: Simplify right side
    471,246.58x = 166,728,411,814.25
  5. Step 5: Solve for x
    x = 166,728,411,814.25/471,246.58
  6. Step 6: Final answer
    x = 353,802.91

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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.