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Finding the Fourth Proportional to 316,180.34, 436,317.82 and 180,258.06

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Solution

The fourth proportional to 316,180.34, 436,317.82 and 180,258.06 is: 248,749.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,180.34 : 436,317.82 = 180,258.06 : x
  2. Step 2: Convert to fraction form
    316,180.34/436,317.82 = 180,258.06/x
  3. Step 3: Cross multiply
    316,180.34x = 436,317.82 × 180,258.06
  4. Step 4: Simplify right side
    316,180.34x = 78,649,803,776.63
  5. Step 5: Solve for x
    x = 78,649,803,776.63/316,180.34
  6. Step 6: Final answer
    x = 248,749.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.