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Finding the Fourth Proportional to 414,658.76, 572,247.51 and 233,382.43

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Solution

The fourth proportional to 414,658.76, 572,247.51 and 233,382.43 is: 322,078.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,658.76 : 572,247.51 = 233,382.43 : x
  2. Step 2: Convert to fraction form
    414,658.76/572,247.51 = 233,382.43/x
  3. Step 3: Cross multiply
    414,658.76x = 572,247.51 × 233,382.43
  4. Step 4: Simplify right side
    414,658.76x = 133,552,514,285.38
  5. Step 5: Solve for x
    x = 133,552,514,285.38/414,658.76
  6. Step 6: Final answer
    x = 322,078.12

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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.