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Finding the Fourth Proportional to 446,903.80, 670,355.70 and 414,098.80

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Solution

The fourth proportional to 446,903.80, 670,355.70 and 414,098.80 is: 621,148.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,903.80 : 670,355.70 = 414,098.80 : x
  2. Step 2: Convert to fraction form
    446,903.80/670,355.70 = 414,098.80/x
  3. Step 3: Cross multiply
    446,903.80x = 670,355.70 × 414,098.80
  4. Step 4: Simplify right side
    446,903.80x = 277,593,490,943.16
  5. Step 5: Solve for x
    x = 277,593,490,943.16/446,903.80
  6. Step 6: Final answer
    x = 621,148.20

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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.