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Finding the Fourth Proportional to 456,695.19, 685,045.62 and 119,732.81

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Solution

The fourth proportional to 456,695.19, 685,045.62 and 119,732.81 is: 179,599.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,695.19 : 685,045.62 = 119,732.81 : x
  2. Step 2: Convert to fraction form
    456,695.19/685,045.62 = 119,732.81/x
  3. Step 3: Cross multiply
    456,695.19x = 685,045.62 × 119,732.81
  4. Step 4: Simplify right side
    456,695.19x = 82,022,437,060.79
  5. Step 5: Solve for x
    x = 82,022,437,060.79/456,695.19
  6. Step 6: Final answer
    x = 179,599.96

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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.