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Finding the Fourth Proportional to 288,954, 398,774.20 and 161,638.16

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Solution

The fourth proportional to 288,954, 398,774.20 and 161,638.16 is: 223,070.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,954 : 398,774.20 = 161,638.16 : x
  2. Step 2: Convert to fraction form
    288,954/398,774.20 = 161,638.16/x
  3. Step 3: Cross multiply
    288,954x = 398,774.20 × 161,638.16
  4. Step 4: Simplify right side
    288,954x = 64,457,127,943.47
  5. Step 5: Solve for x
    x = 64,457,127,943.47/288,954
  6. Step 6: Final answer
    x = 223,070.55

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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.