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Finding the Fourth Proportional to 281,886.48, 422,543.16 and 176,778.72

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Solution

The fourth proportional to 281,886.48, 422,543.16 and 176,778.72 is: 264,988.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,886.48 : 422,543.16 = 176,778.72 : x
  2. Step 2: Convert to fraction form
    281,886.48/422,543.16 = 176,778.72/x
  3. Step 3: Cross multiply
    281,886.48x = 422,543.16 × 176,778.72
  4. Step 4: Simplify right side
    281,886.48x = 74,696,638,969.56
  5. Step 5: Solve for x
    x = 74,696,638,969.56/281,886.48
  6. Step 6: Final answer
    x = 264,988.37

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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.