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Finding the Fourth Proportional to 430,464, 593,879.88 and 269,257.80

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Solution

The fourth proportional to 430,464, 593,879.88 and 269,257.80 is: 371,475.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,464 : 593,879.88 = 269,257.80 : x
  2. Step 2: Convert to fraction form
    430,464/593,879.88 = 269,257.80/x
  3. Step 3: Cross multiply
    430,464x = 593,879.88 × 269,257.80
  4. Step 4: Simplify right side
    430,464x = 159,906,789,953.06
  5. Step 5: Solve for x
    x = 159,906,789,953.06/430,464
  6. Step 6: Final answer
    x = 371,475.41

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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.