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Finding the Fourth Proportional to 300,464.16, 414,645.44 and 164,495.83

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Solution

The fourth proportional to 300,464.16, 414,645.44 and 164,495.83 is: 227,006.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,464.16 : 414,645.44 = 164,495.83 : x
  2. Step 2: Convert to fraction form
    300,464.16/414,645.44 = 164,495.83/x
  3. Step 3: Cross multiply
    300,464.16x = 414,645.44 × 164,495.83
  4. Step 4: Simplify right side
    300,464.16x = 68,207,445,808.52
  5. Step 5: Solve for x
    x = 68,207,445,808.52/300,464.16
  6. Step 6: Final answer
    x = 227,006.93

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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.