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Finding the Fourth Proportional to 305,429.82, 458,034.96 and 105,695.98

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Solution

The fourth proportional to 305,429.82, 458,034.96 and 105,695.98 is: 158,505.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,429.82 : 458,034.96 = 105,695.98 : x
  2. Step 2: Convert to fraction form
    305,429.82/458,034.96 = 105,695.98/x
  3. Step 3: Cross multiply
    305,429.82x = 458,034.96 × 105,695.98
  4. Step 4: Simplify right side
    305,429.82x = 48,412,453,971.46
  5. Step 5: Solve for x
    x = 48,412,453,971.46/305,429.82
  6. Step 6: Final answer
    x = 158,505.98

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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.