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Finding the Fourth Proportional to 648,744.40, 973,116.60 and 470,414.80

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Solution

The fourth proportional to 648,744.40, 973,116.60 and 470,414.80 is: 705,622.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,744.40 : 973,116.60 = 470,414.80 : x
  2. Step 2: Convert to fraction form
    648,744.40/973,116.60 = 470,414.80/x
  3. Step 3: Cross multiply
    648,744.40x = 973,116.60 × 470,414.80
  4. Step 4: Simplify right side
    648,744.40x = 457,768,450,765.68
  5. Step 5: Solve for x
    x = 457,768,450,765.68/648,744.40
  6. Step 6: Final answer
    x = 705,622.20

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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.