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Finding the Fourth Proportional to 291,158.48, 401,794.44 and 163,824.08

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Solution

The fourth proportional to 291,158.48, 401,794.44 and 163,824.08 is: 226,074.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,158.48 : 401,794.44 = 163,824.08 : x
  2. Step 2: Convert to fraction form
    291,158.48/401,794.44 = 163,824.08/x
  3. Step 3: Cross multiply
    291,158.48x = 401,794.44 × 163,824.08
  4. Step 4: Simplify right side
    291,158.48x = 65,823,604,482.12
  5. Step 5: Solve for x
    x = 65,823,604,482.12/291,158.48
  6. Step 6: Final answer
    x = 226,074.83

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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.