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Finding the Fourth Proportional to 539,624.59, 809,295.93 and 160,443.22

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Solution

The fourth proportional to 539,624.59, 809,295.93 and 160,443.22 is: 240,622.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,624.59 : 809,295.93 = 160,443.22 : x
  2. Step 2: Convert to fraction form
    539,624.59/809,295.93 = 160,443.22/x
  3. Step 3: Cross multiply
    539,624.59x = 809,295.93 × 160,443.22
  4. Step 4: Simplify right side
    539,624.59x = 129,846,043,749.46
  5. Step 5: Solve for x
    x = 129,846,043,749.46/539,624.59
  6. Step 6: Final answer
    x = 240,622.92

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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.