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Finding the Fourth Proportional to 295,714.72, 408,039.12 and 168,392.80

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Solution

The fourth proportional to 295,714.72, 408,039.12 and 168,392.80 is: 232,355.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,714.72 : 408,039.12 = 168,392.80 : x
  2. Step 2: Convert to fraction form
    295,714.72/408,039.12 = 168,392.80/x
  3. Step 3: Cross multiply
    295,714.72x = 408,039.12 × 168,392.80
  4. Step 4: Simplify right side
    295,714.72x = 68,710,849,926.34
  5. Step 5: Solve for x
    x = 68,710,849,926.34/295,714.72
  6. Step 6: Final answer
    x = 232,355.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.