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Finding the Fourth Proportional to 459,744.32, 689,394.36 and 160,217.84

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Solution

The fourth proportional to 459,744.32, 689,394.36 and 160,217.84 is: 240,249.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,744.32 : 689,394.36 = 160,217.84 : x
  2. Step 2: Convert to fraction form
    459,744.32/689,394.36 = 160,217.84/x
  3. Step 3: Cross multiply
    459,744.32x = 689,394.36 × 160,217.84
  4. Step 4: Simplify right side
    459,744.32x = 110,453,275,267.38
  5. Step 5: Solve for x
    x = 110,453,275,267.38/459,744.32
  6. Step 6: Final answer
    x = 240,249.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.