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Finding the Fourth Proportional to 459,994.36, 689,773.02 and 160,438.54

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Solution

The fourth proportional to 459,994.36, 689,773.02 and 160,438.54 is: 240,581.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,994.36 : 689,773.02 = 160,438.54 : x
  2. Step 2: Convert to fraction form
    459,994.36/689,773.02 = 160,438.54/x
  3. Step 3: Cross multiply
    459,994.36x = 689,773.02 × 160,438.54
  4. Step 4: Simplify right side
    459,994.36x = 110,666,176,260.19
  5. Step 5: Solve for x
    x = 110,666,176,260.19/459,994.36
  6. Step 6: Final answer
    x = 240,581.59

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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.