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Finding the Fourth Proportional to 459,999.27, 689,780.61 and 160,443.45

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Solution

The fourth proportional to 459,999.27, 689,780.61 and 160,443.45 is: 240,589.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,999.27 : 689,780.61 = 160,443.45 : x
  2. Step 2: Convert to fraction form
    459,999.27/689,780.61 = 160,443.45/x
  3. Step 3: Cross multiply
    459,999.27x = 689,780.61 × 160,443.45
  4. Step 4: Simplify right side
    459,999.27x = 110,670,780,811.51
  5. Step 5: Solve for x
    x = 110,670,780,811.51/459,999.27
  6. Step 6: Final answer
    x = 240,589.04

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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.