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Finding the Fourth Proportional to 316,098.29, 436,211.44 and 180,140.33

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Solution

The fourth proportional to 316,098.29, 436,211.44 and 180,140.33 is: 248,591.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,098.29 : 436,211.44 = 180,140.33 : x
  2. Step 2: Convert to fraction form
    316,098.29/436,211.44 = 180,140.33/x
  3. Step 3: Cross multiply
    316,098.29x = 436,211.44 × 180,140.33
  4. Step 4: Simplify right side
    316,098.29x = 78,579,270,119.97
  5. Step 5: Solve for x
    x = 78,579,270,119.97/316,098.29
  6. Step 6: Final answer
    x = 248,591.26

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1.5x scale

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.