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Finding the Fourth Proportional to 413,366.90, 620,050.80 and 164,048.90

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Solution

The fourth proportional to 413,366.90, 620,050.80 and 164,048.90 is: 246,073.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,366.90 : 620,050.80 = 164,048.90 : x
  2. Step 2: Convert to fraction form
    413,366.90/620,050.80 = 164,048.90/x
  3. Step 3: Cross multiply
    413,366.90x = 620,050.80 × 164,048.90
  4. Step 4: Simplify right side
    413,366.90x = 101,718,651,684.12
  5. Step 5: Solve for x
    x = 101,718,651,684.12/413,366.90
  6. Step 6: Final answer
    x = 246,073.53

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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.