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Finding the Fourth Proportional to 295,714.16, 408,085.14 and 168,389.75

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Solution

The fourth proportional to 295,714.16, 408,085.14 and 168,389.75 is: 232,377.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,714.16 : 408,085.14 = 168,389.75 : x
  2. Step 2: Convert to fraction form
    295,714.16/408,085.14 = 168,389.75/x
  3. Step 3: Cross multiply
    295,714.16x = 408,085.14 × 168,389.75
  4. Step 4: Simplify right side
    295,714.16x = 68,717,355,407.80
  5. Step 5: Solve for x
    x = 68,717,355,407.80/295,714.16
  6. Step 6: Final answer
    x = 232,377.63

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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.