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Finding the Fourth Proportional to 291,056.16, 401,653.84 and 163,732.64

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Solution

The fourth proportional to 291,056.16, 401,653.84 and 163,732.64 is: 225,948.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,056.16 : 401,653.84 = 163,732.64 : x
  2. Step 2: Convert to fraction form
    291,056.16/401,653.84 = 163,732.64/x
  3. Step 3: Cross multiply
    291,056.16x = 401,653.84 × 163,732.64
  4. Step 4: Simplify right side
    291,056.16x = 65,763,843,589.34
  5. Step 5: Solve for x
    x = 65,763,843,589.34/291,056.16
  6. Step 6: Final answer
    x = 225,948.98

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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.