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Finding the Fourth Proportional to 294,329.78, 406,175.94 and 167,005.07

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Solution

The fourth proportional to 294,329.78, 406,175.94 and 167,005.07 is: 230,467.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,329.78 : 406,175.94 = 167,005.07 : x
  2. Step 2: Convert to fraction form
    294,329.78/406,175.94 = 167,005.07/x
  3. Step 3: Cross multiply
    294,329.78x = 406,175.94 × 167,005.07
  4. Step 4: Simplify right side
    294,329.78x = 67,833,439,261.14
  5. Step 5: Solve for x
    x = 67,833,439,261.14/294,329.78
  6. Step 6: Final answer
    x = 230,467.47

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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.