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Finding the Fourth Proportional to 456,589.76, 684,864.96 and 119,622.98

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Solution

The fourth proportional to 456,589.76, 684,864.96 and 119,622.98 is: 179,429.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,589.76 : 684,864.96 = 119,622.98 : x
  2. Step 2: Convert to fraction form
    456,589.76/684,864.96 = 119,622.98/x
  3. Step 3: Cross multiply
    456,589.76x = 684,864.96 × 119,622.98
  4. Step 4: Simplify right side
    456,589.76x = 81,925,587,412.78
  5. Step 5: Solve for x
    x = 81,925,587,412.78/456,589.76
  6. Step 6: Final answer
    x = 179,429.31

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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.