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Finding the Fourth Proportional to 508,676, 763,014.04 and 193,133.08

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Solution

The fourth proportional to 508,676, 763,014.04 and 193,133.08 is: 289,699.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,676 : 763,014.04 = 193,133.08 : x
  2. Step 2: Convert to fraction form
    508,676/763,014.04 = 193,133.08/x
  3. Step 3: Cross multiply
    508,676x = 763,014.04 × 193,133.08
  4. Step 4: Simplify right side
    508,676x = 147,363,251,628.44
  5. Step 5: Solve for x
    x = 147,363,251,628.44/508,676
  6. Step 6: Final answer
    x = 289,699.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.