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Finding the Fourth Proportional to 414,415.46, 571,892.52 and 233,127.53

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Solution

The fourth proportional to 414,415.46, 571,892.52 and 233,127.53 is: 321,715.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,415.46 : 571,892.52 = 233,127.53 : x
  2. Step 2: Convert to fraction form
    414,415.46/571,892.52 = 233,127.53/x
  3. Step 3: Cross multiply
    414,415.46x = 571,892.52 × 233,127.53
  4. Step 4: Simplify right side
    414,415.46x = 133,323,889,447.44
  5. Step 5: Solve for x
    x = 133,323,889,447.44/414,415.46
  6. Step 6: Final answer
    x = 321,715.53

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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.