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Finding the Fourth Proportional to 414,437.66, 571,373.43 and 270,951.02

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Solution

The fourth proportional to 414,437.66, 571,373.43 and 270,951.02 is: 373,552.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,437.66 : 571,373.43 = 270,951.02 : x
  2. Step 2: Convert to fraction form
    414,437.66/571,373.43 = 270,951.02/x
  3. Step 3: Cross multiply
    414,437.66x = 571,373.43 × 270,951.02
  4. Step 4: Simplify right side
    414,437.66x = 154,814,213,659.40
  5. Step 5: Solve for x
    x = 154,814,213,659.40/414,437.66
  6. Step 6: Final answer
    x = 373,552.48

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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.