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Finding the Fourth Proportional to 300,035.59, 414,032.36 and 164,042.47

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Solution

The fourth proportional to 300,035.59, 414,032.36 and 164,042.47 is: 226,369.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,035.59 : 414,032.36 = 164,042.47 : x
  2. Step 2: Convert to fraction form
    300,035.59/414,032.36 = 164,042.47/x
  3. Step 3: Cross multiply
    300,035.59x = 414,032.36 × 164,042.47
  4. Step 4: Simplify right side
    300,035.59x = 67,918,889,285.46
  5. Step 5: Solve for x
    x = 67,918,889,285.46/300,035.59
  6. Step 6: Final answer
    x = 226,369.44

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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.