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Finding the Fourth Proportional to 295,678.69, 408,109.49 and 168,429.31

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Solution

The fourth proportional to 295,678.69, 408,109.49 and 168,429.31 is: 232,473.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,678.69 : 408,109.49 = 168,429.31 : x
  2. Step 2: Convert to fraction form
    295,678.69/408,109.49 = 168,429.31/x
  3. Step 3: Cross multiply
    295,678.69x = 408,109.49 × 168,429.31
  4. Step 4: Simplify right side
    295,678.69x = 68,737,598,574.34
  5. Step 5: Solve for x
    x = 68,737,598,574.34/295,678.69
  6. Step 6: Final answer
    x = 232,473.97

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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.