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Finding the Fourth Proportional to 307,414.45, 460,629.60 and 202,110.40

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Solution

The fourth proportional to 307,414.45, 460,629.60 and 202,110.40 is: 302,842.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,414.45 : 460,629.60 = 202,110.40 : x
  2. Step 2: Convert to fraction form
    307,414.45/460,629.60 = 202,110.40/x
  3. Step 3: Cross multiply
    307,414.45x = 460,629.60 × 202,110.40
  4. Step 4: Simplify right side
    307,414.45x = 93,098,032,707.84
  5. Step 5: Solve for x
    x = 93,098,032,707.84/307,414.45
  6. Step 6: Final answer
    x = 302,842.08

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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.