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Finding the Fourth Proportional to 295,714.12, 408,085.86 and 161,578.12

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Solution

The fourth proportional to 295,714.12, 408,085.86 and 161,578.12 is: 222,978.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,714.12 : 408,085.86 = 161,578.12 : x
  2. Step 2: Convert to fraction form
    295,714.12/408,085.86 = 161,578.12/x
  3. Step 3: Cross multiply
    295,714.12x = 408,085.86 × 161,578.12
  4. Step 4: Simplify right side
    295,714.12x = 65,937,746,057.38
  5. Step 5: Solve for x
    x = 65,937,746,057.38/295,714.12
  6. Step 6: Final answer
    x = 222,978.01

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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.