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Finding the Fourth Proportional to 415,256.10, 622,884.15 and 310,280.10

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Solution

The fourth proportional to 415,256.10, 622,884.15 and 310,280.10 is: 465,420.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,256.10 : 622,884.15 = 310,280.10 : x
  2. Step 2: Convert to fraction form
    415,256.10/622,884.15 = 310,280.10/x
  3. Step 3: Cross multiply
    415,256.10x = 622,884.15 × 310,280.10
  4. Step 4: Simplify right side
    415,256.10x = 193,268,556,350.42
  5. Step 5: Solve for x
    x = 193,268,556,350.42/415,256.10
  6. Step 6: Final answer
    x = 465,420.15

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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.