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Finding the Fourth Proportional to 470,182.19, 648,954.72 and 309,052.22

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Solution

The fourth proportional to 470,182.19, 648,954.72 and 309,052.22 is: 426,559.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,182.19 : 648,954.72 = 309,052.22 : x
  2. Step 2: Convert to fraction form
    470,182.19/648,954.72 = 309,052.22/x
  3. Step 3: Cross multiply
    470,182.19x = 648,954.72 × 309,052.22
  4. Step 4: Simplify right side
    470,182.19x = 200,560,893,650.71
  5. Step 5: Solve for x
    x = 200,560,893,650.71/470,182.19
  6. Step 6: Final answer
    x = 426,559.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.