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Finding the Fourth Proportional to 310,638.60, 465,274.92 and 256,719.50

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Solution

The fourth proportional to 310,638.60, 465,274.92 and 256,719.50 is: 384,514.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,638.60 : 465,274.92 = 256,719.50 : x
  2. Step 2: Convert to fraction form
    310,638.60/465,274.92 = 256,719.50/x
  3. Step 3: Cross multiply
    310,638.60x = 465,274.92 × 256,719.50
  4. Step 4: Simplify right side
    310,638.60x = 119,445,144,824.94
  5. Step 5: Solve for x
    x = 119,445,144,824.94/310,638.60
  6. Step 6: Final answer
    x = 384,514.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.