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Finding the Fourth Proportional to 454,969.96, 682,535.94 and 155,483.80

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Solution

The fourth proportional to 454,969.96, 682,535.94 and 155,483.80 is: 233,253.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,969.96 : 682,535.94 = 155,483.80 : x
  2. Step 2: Convert to fraction form
    454,969.96/682,535.94 = 155,483.80/x
  3. Step 3: Cross multiply
    454,969.96x = 682,535.94 × 155,483.80
  4. Step 4: Simplify right side
    454,969.96x = 106,123,281,587.77
  5. Step 5: Solve for x
    x = 106,123,281,587.77/454,969.96
  6. Step 6: Final answer
    x = 233,253.38

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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.