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Finding the Fourth Proportional to 300,647.85, 414,878.00 and 164,674.77

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Solution

The fourth proportional to 300,647.85, 414,878.00 and 164,674.77 is: 227,242.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,647.85 : 414,878.00 = 164,674.77 : x
  2. Step 2: Convert to fraction form
    300,647.85/414,878.00 = 164,674.77/x
  3. Step 3: Cross multiply
    300,647.85x = 414,878.00 × 164,674.77
  4. Step 4: Simplify right side
    300,647.85x = 68,319,938,404.69
  5. Step 5: Solve for x
    x = 68,319,938,404.69/300,647.85
  6. Step 6: Final answer
    x = 227,242.40

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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.