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Finding the Fourth Proportional to 397,345.53, 548,333.88 and 216,057.57

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Solution

The fourth proportional to 397,345.53, 548,333.88 and 216,057.57 is: 298,157.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,345.53 : 548,333.88 = 216,057.57 : x
  2. Step 2: Convert to fraction form
    397,345.53/548,333.88 = 216,057.57/x
  3. Step 3: Cross multiply
    397,345.53x = 548,333.88 × 216,057.57
  4. Step 4: Simplify right side
    397,345.53x = 118,471,685,661.47
  5. Step 5: Solve for x
    x = 118,471,685,661.47/397,345.53
  6. Step 6: Final answer
    x = 298,157.84

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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.