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Finding the Fourth Proportional to 300,495.15, 414,670.49 and 164,526.63

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Solution

The fourth proportional to 300,495.15, 414,670.49 and 164,526.63 is: 227,039.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,495.15 : 414,670.49 = 164,526.63 : x
  2. Step 2: Convert to fraction form
    300,495.15/414,670.49 = 164,526.63/x
  3. Step 3: Cross multiply
    300,495.15x = 414,670.49 × 164,526.63
  4. Step 4: Simplify right side
    300,495.15x = 68,224,337,457.52
  5. Step 5: Solve for x
    x = 68,224,337,457.52/300,495.15
  6. Step 6: Final answer
    x = 227,039.73

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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.