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Finding the Fourth Proportional to 345,300.30, 476,587.92 and 232,057.44

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Solution

The fourth proportional to 345,300.30, 476,587.92 and 232,057.44 is: 320,288.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,300.30 : 476,587.92 = 232,057.44 : x
  2. Step 2: Convert to fraction form
    345,300.30/476,587.92 = 232,057.44/x
  3. Step 3: Cross multiply
    345,300.30x = 476,587.92 × 232,057.44
  4. Step 4: Simplify right side
    345,300.30x = 110,595,772,650.13
  5. Step 5: Solve for x
    x = 110,595,772,650.13/345,300.30
  6. Step 6: Final answer
    x = 320,288.67

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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.