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Finding the Fourth Proportional to 281,718.60, 422,577.90 and 176,742.60

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Solution

The fourth proportional to 281,718.60, 422,577.90 and 176,742.60 is: 265,113.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,718.60 : 422,577.90 = 176,742.60 : x
  2. Step 2: Convert to fraction form
    281,718.60/422,577.90 = 176,742.60/x
  3. Step 3: Cross multiply
    281,718.60x = 422,577.90 × 176,742.60
  4. Step 4: Simplify right side
    281,718.60x = 74,687,516,748.54
  5. Step 5: Solve for x
    x = 74,687,516,748.54/281,718.60
  6. Step 6: Final answer
    x = 265,113.90

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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.