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Finding the Fourth Proportional to 539,533.40, 809,299.98 and 160,452.59

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Solution

The fourth proportional to 539,533.40, 809,299.98 and 160,452.59 is: 240,678.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,533.40 : 809,299.98 = 160,452.59 : x
  2. Step 2: Convert to fraction form
    539,533.40/809,299.98 = 160,452.59/x
  3. Step 3: Cross multiply
    539,533.40x = 809,299.98 × 160,452.59
  4. Step 4: Simplify right side
    539,533.40x = 129,854,273,831.45
  5. Step 5: Solve for x
    x = 129,854,273,831.45/539,533.40
  6. Step 6: Final answer
    x = 240,678.84

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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.