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Finding the Fourth Proportional to 539,806.40, 809,709.60 and 434,830.40

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Solution

The fourth proportional to 539,806.40, 809,709.60 and 434,830.40 is: 652,245.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,806.40 : 809,709.60 = 434,830.40 : x
  2. Step 2: Convert to fraction form
    539,806.40/809,709.60 = 434,830.40/x
  3. Step 3: Cross multiply
    539,806.40x = 809,709.60 × 434,830.40
  4. Step 4: Simplify right side
    539,806.40x = 352,086,349,251.84
  5. Step 5: Solve for x
    x = 352,086,349,251.84/539,806.40
  6. Step 6: Final answer
    x = 652,245.60

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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.