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Finding the Fourth Proportional to 456,605.10, 684,937.62 and 119,654.01

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Solution

The fourth proportional to 456,605.10, 684,937.62 and 119,654.01 is: 179,488.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,605.10 : 684,937.62 = 119,654.01 : x
  2. Step 2: Convert to fraction form
    456,605.10/684,937.62 = 119,654.01/x
  3. Step 3: Cross multiply
    456,605.10x = 684,937.62 × 119,654.01
  4. Step 4: Simplify right side
    456,605.10x = 81,955,532,832.86
  5. Step 5: Solve for x
    x = 81,955,532,832.86/456,605.10
  6. Step 6: Final answer
    x = 179,488.87

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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.