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Finding the Fourth Proportional to 476,809.00, 657,769.07 and 347,470.16

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Solution

The fourth proportional to 476,809.00, 657,769.07 and 347,470.16 is: 479,343.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,809.00 : 657,769.07 = 347,470.16 : x
  2. Step 2: Convert to fraction form
    476,809.00/657,769.07 = 347,470.16/x
  3. Step 3: Cross multiply
    476,809.00x = 657,769.07 × 347,470.16
  4. Step 4: Simplify right side
    476,809.00x = 228,555,121,575.78
  5. Step 5: Solve for x
    x = 228,555,121,575.78/476,809.00
  6. Step 6: Final answer
    x = 479,343.14

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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.