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Finding the Fourth Proportional to 471,046.34, 650,047.02 and 256,187.96

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Solution

The fourth proportional to 471,046.34, 650,047.02 and 256,187.96 is: 353,541.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,046.34 : 650,047.02 = 256,187.96 : x
  2. Step 2: Convert to fraction form
    471,046.34/650,047.02 = 256,187.96/x
  3. Step 3: Cross multiply
    471,046.34x = 650,047.02 × 256,187.96
  4. Step 4: Simplify right side
    471,046.34x = 166,534,223,282.19
  5. Step 5: Solve for x
    x = 166,534,223,282.19/471,046.34
  6. Step 6: Final answer
    x = 353,541.06

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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.