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Finding the Fourth Proportional to 414,491.63, 571,998.47 and 235,643.63

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Solution

The fourth proportional to 414,491.63, 571,998.47 and 235,643.63 is: 325,188.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,491.63 : 571,998.47 = 235,643.63 : x
  2. Step 2: Convert to fraction form
    414,491.63/571,998.47 = 235,643.63/x
  3. Step 3: Cross multiply
    414,491.63x = 571,998.47 × 235,643.63
  4. Step 4: Simplify right side
    414,491.63x = 134,787,791,787.04
  5. Step 5: Solve for x
    x = 134,787,791,787.04/414,491.63
  6. Step 6: Final answer
    x = 325,188.22

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1.5x scale

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.