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Finding the Fourth Proportional to 414,782.07, 572,400.47 and 233,496.78

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Solution

The fourth proportional to 414,782.07, 572,400.47 and 233,496.78 is: 322,226.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,782.07 : 572,400.47 = 233,496.78 : x
  2. Step 2: Convert to fraction form
    414,782.07/572,400.47 = 233,496.78/x
  3. Step 3: Cross multiply
    414,782.07x = 572,400.47 × 233,496.78
  4. Step 4: Simplify right side
    414,782.07x = 133,653,665,052.73
  5. Step 5: Solve for x
    x = 133,653,665,052.73/414,782.07
  6. Step 6: Final answer
    x = 322,226.24

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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.