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Finding the Fourth Proportional to 467,088.72, 644,595.80 and 263,141.88

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Solution

The fourth proportional to 467,088.72, 644,595.80 and 263,141.88 is: 363,143.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,088.72 : 644,595.80 = 263,141.88 : x
  2. Step 2: Convert to fraction form
    467,088.72/644,595.80 = 263,141.88/x
  3. Step 3: Cross multiply
    467,088.72x = 644,595.80 × 263,141.88
  4. Step 4: Simplify right side
    467,088.72x = 169,620,150,652.10
  5. Step 5: Solve for x
    x = 169,620,150,652.10/467,088.72
  6. Step 6: Final answer
    x = 363,143.32

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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.