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Finding the Fourth Proportional to 293,980.16, 405,690.72 and 159,844.16

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Solution

The fourth proportional to 293,980.16, 405,690.72 and 159,844.16 is: 220,583.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,980.16 : 405,690.72 = 159,844.16 : x
  2. Step 2: Convert to fraction form
    293,980.16/405,690.72 = 159,844.16/x
  3. Step 3: Cross multiply
    293,980.16x = 405,690.72 × 159,844.16
  4. Step 4: Simplify right side
    293,980.16x = 64,847,292,358.20
  5. Step 5: Solve for x
    x = 64,847,292,358.20/293,980.16
  6. Step 6: Final answer
    x = 220,583.91

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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.