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Finding the Fourth Proportional to 414,889.29, 572,601.76 and 233,636.67

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Solution

The fourth proportional to 414,889.29, 572,601.76 and 233,636.67 is: 322,449.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,889.29 : 572,601.76 = 233,636.67 : x
  2. Step 2: Convert to fraction form
    414,889.29/572,601.76 = 233,636.67/x
  3. Step 3: Cross multiply
    414,889.29x = 572,601.76 × 233,636.67
  4. Step 4: Simplify right side
    414,889.29x = 133,780,767,858.45
  5. Step 5: Solve for x
    x = 133,780,767,858.45/414,889.29
  6. Step 6: Final answer
    x = 322,449.32

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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.