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Finding the Fourth Proportional to 465,947.80, 697,308.90 and 279,093.40

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Solution

The fourth proportional to 465,947.80, 697,308.90 and 279,093.40 is: 417,674.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,947.80 : 697,308.90 = 279,093.40 : x
  2. Step 2: Convert to fraction form
    465,947.80/697,308.90 = 279,093.40/x
  3. Step 3: Cross multiply
    465,947.80x = 697,308.90 × 279,093.40
  4. Step 4: Simplify right side
    465,947.80x = 194,614,311,751.26
  5. Step 5: Solve for x
    x = 194,614,311,751.26/465,947.80
  6. Step 6: Final answer
    x = 417,674.07

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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.