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Finding the Fourth Proportional to 414,389.31, 571,907.84 and 233,108.88

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Solution

The fourth proportional to 414,389.31, 571,907.84 and 233,108.88 is: 321,718.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,389.31 : 571,907.84 = 233,108.88 : x
  2. Step 2: Convert to fraction form
    414,389.31/571,907.84 = 233,108.88/x
  3. Step 3: Cross multiply
    414,389.31x = 571,907.84 × 233,108.88
  4. Step 4: Simplify right side
    414,389.31x = 133,316,794,880.08
  5. Step 5: Solve for x
    x = 133,316,794,880.08/414,389.31
  6. Step 6: Final answer
    x = 321,718.71

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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.