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Finding the Fourth Proportional to 300,699.42, 414,960.51 and 164,732.22

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Solution

The fourth proportional to 300,699.42, 414,960.51 and 164,732.22 is: 227,327.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,699.42 : 414,960.51 = 164,732.22 : x
  2. Step 2: Convert to fraction form
    300,699.42/414,960.51 = 164,732.22/x
  3. Step 3: Cross multiply
    300,699.42x = 414,960.51 × 164,732.22
  4. Step 4: Simplify right side
    300,699.42x = 68,357,366,024.63
  5. Step 5: Solve for x
    x = 68,357,366,024.63/300,699.42
  6. Step 6: Final answer
    x = 227,327.89

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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.