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Finding the Fourth Proportional to 402,314.82, 603,472.14 and 102,795.96

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Solution

The fourth proportional to 402,314.82, 603,472.14 and 102,795.96 is: 154,193.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,314.82 : 603,472.14 = 102,795.96 : x
  2. Step 2: Convert to fraction form
    402,314.82/603,472.14 = 102,795.96/x
  3. Step 3: Cross multiply
    402,314.82x = 603,472.14 × 102,795.96
  4. Step 4: Simplify right side
    402,314.82x = 62,034,497,964.55
  5. Step 5: Solve for x
    x = 62,034,497,964.55/402,314.82
  6. Step 6: Final answer
    x = 154,193.92

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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.