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Finding the Fourth Proportional to 414,423.72, 571,903.88 and 233,135.78

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Solution

The fourth proportional to 414,423.72, 571,903.88 and 233,135.78 is: 321,726.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,423.72 : 571,903.88 = 233,135.78 : x
  2. Step 2: Convert to fraction form
    414,423.72/571,903.88 = 233,135.78/x
  3. Step 3: Cross multiply
    414,423.72x = 571,903.88 × 233,135.78
  4. Step 4: Simplify right side
    414,423.72x = 133,331,257,148.83
  5. Step 5: Solve for x
    x = 133,331,257,148.83/414,423.72
  6. Step 6: Final answer
    x = 321,726.90

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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.