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Finding the Fourth Proportional to 333,223.50, 459,837 and 190,029.63

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Solution

The fourth proportional to 333,223.50, 459,837 and 190,029.63 is: 262,234.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,223.50 : 459,837 = 190,029.63 : x
  2. Step 2: Convert to fraction form
    333,223.50/459,837 = 190,029.63/x
  3. Step 3: Cross multiply
    333,223.50x = 459,837 × 190,029.63
  4. Step 4: Simplify right side
    333,223.50x = 87,382,654,970.31
  5. Step 5: Solve for x
    x = 87,382,654,970.31/333,223.50
  6. Step 6: Final answer
    x = 262,234.37

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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.