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Finding the Fourth Proportional to 646,796.59, 892,101.15 and 474,656.41

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Solution

The fourth proportional to 646,796.59, 892,101.15 and 474,656.41 is: 654,674.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,796.59 : 892,101.15 = 474,656.41 : x
  2. Step 2: Convert to fraction form
    646,796.59/892,101.15 = 474,656.41/x
  3. Step 3: Cross multiply
    646,796.59x = 892,101.15 × 474,656.41
  4. Step 4: Simplify right side
    646,796.59x = 423,441,529,215.87
  5. Step 5: Solve for x
    x = 423,441,529,215.87/646,796.59
  6. Step 6: Final answer
    x = 654,674.96

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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.