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Finding the Fourth Proportional to 302,849, 417,940.26 and 168,721.64

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Solution

The fourth proportional to 302,849, 417,940.26 and 168,721.64 is: 232,840.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,849 : 417,940.26 = 168,721.64 : x
  2. Step 2: Convert to fraction form
    302,849/417,940.26 = 168,721.64/x
  3. Step 3: Cross multiply
    302,849x = 417,940.26 × 168,721.64
  4. Step 4: Simplify right side
    302,849x = 70,515,566,089.23
  5. Step 5: Solve for x
    x = 70,515,566,089.23/302,849
  6. Step 6: Final answer
    x = 232,840.68

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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.