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Finding the Fourth Proportional to 414,806.43, 572,443.95 and 233,525.24

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Solution

The fourth proportional to 414,806.43, 572,443.95 and 233,525.24 is: 322,271.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,806.43 : 572,443.95 = 233,525.24 : x
  2. Step 2: Convert to fraction form
    414,806.43/572,443.95 = 233,525.24/x
  3. Step 3: Cross multiply
    414,806.43x = 572,443.95 × 233,525.24
  4. Step 4: Simplify right side
    414,806.43x = 133,680,110,970.46
  5. Step 5: Solve for x
    x = 133,680,110,970.46/414,806.43
  6. Step 6: Final answer
    x = 322,271.06

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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.