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Finding the Fourth Proportional to 414,339.36, 571,832.22 and 253,288.68

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Solution

The fourth proportional to 414,339.36, 571,832.22 and 253,288.68 is: 349,565.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,339.36 : 571,832.22 = 253,288.68 : x
  2. Step 2: Convert to fraction form
    414,339.36/571,832.22 = 253,288.68/x
  3. Step 3: Cross multiply
    414,339.36x = 571,832.22 × 253,288.68
  4. Step 4: Simplify right side
    414,339.36x = 144,838,628,185.27
  5. Step 5: Solve for x
    x = 144,838,628,185.27/414,339.36
  6. Step 6: Final answer
    x = 349,565.22

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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.