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Finding the Fourth Proportional to 323,707.49, 446,533.16 and 202,638.51

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Solution

The fourth proportional to 323,707.49, 446,533.16 and 202,638.51 is: 279,526.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,707.49 : 446,533.16 = 202,638.51 : x
  2. Step 2: Convert to fraction form
    323,707.49/446,533.16 = 202,638.51/x
  3. Step 3: Cross multiply
    323,707.49x = 446,533.16 × 202,638.51
  4. Step 4: Simplify right side
    323,707.49x = 90,484,813,194.80
  5. Step 5: Solve for x
    x = 90,484,813,194.80/323,707.49
  6. Step 6: Final answer
    x = 279,526.47

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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.