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Finding the Fourth Proportional to 413,309.08, 620,028.42 and 176,653

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Solution

The fourth proportional to 413,309.08, 620,028.42 and 176,653 is: 265,007.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,309.08 : 620,028.42 = 176,653 : x
  2. Step 2: Convert to fraction form
    413,309.08/620,028.42 = 176,653/x
  3. Step 3: Cross multiply
    413,309.08x = 620,028.42 × 176,653
  4. Step 4: Simplify right side
    413,309.08x = 109,529,880,478.26
  5. Step 5: Solve for x
    x = 109,529,880,478.26/413,309.08
  6. Step 6: Final answer
    x = 265,007.20

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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.