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Finding the Fourth Proportional to 539,446.37, 809,097.57 and 160,360

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Solution

The fourth proportional to 539,446.37, 809,097.57 and 160,360 is: 240,518.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,446.37 : 809,097.57 = 160,360 : x
  2. Step 2: Convert to fraction form
    539,446.37/809,097.57 = 160,360/x
  3. Step 3: Cross multiply
    539,446.37x = 809,097.57 × 160,360
  4. Step 4: Simplify right side
    539,446.37x = 129,746,886,325.20
  5. Step 5: Solve for x
    x = 129,746,886,325.20/539,446.37
  6. Step 6: Final answer
    x = 240,518.60

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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.