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Finding the Fourth Proportional to 413,106.90, 620,024.85 and 244,416.30

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Solution

The fourth proportional to 413,106.90, 620,024.85 and 244,416.30 is: 366,840.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,106.90 : 620,024.85 = 244,416.30 : x
  2. Step 2: Convert to fraction form
    413,106.90/620,024.85 = 244,416.30/x
  3. Step 3: Cross multiply
    413,106.90x = 620,024.85 × 244,416.30
  4. Step 4: Simplify right side
    413,106.90x = 151,544,179,745.06
  5. Step 5: Solve for x
    x = 151,544,179,745.06/413,106.90
  6. Step 6: Final answer
    x = 366,840.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.