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Finding the Fourth Proportional to 486,004.70, 729,007.05 and 409,022.30

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Solution

The fourth proportional to 486,004.70, 729,007.05 and 409,022.30 is: 613,533.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,004.70 : 729,007.05 = 409,022.30 : x
  2. Step 2: Convert to fraction form
    486,004.70/729,007.05 = 409,022.30/x
  3. Step 3: Cross multiply
    486,004.70x = 729,007.05 × 409,022.30
  4. Step 4: Simplify right side
    486,004.70x = 298,180,140,307.22
  5. Step 5: Solve for x
    x = 298,180,140,307.22/486,004.70
  6. Step 6: Final answer
    x = 613,533.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.