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Finding the Fourth Proportional to 343,850.40, 515,775.60 and 314,301.60

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Solution

The fourth proportional to 343,850.40, 515,775.60 and 314,301.60 is: 471,452.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,850.40 : 515,775.60 = 314,301.60 : x
  2. Step 2: Convert to fraction form
    343,850.40/515,775.60 = 314,301.60/x
  3. Step 3: Cross multiply
    343,850.40x = 515,775.60 × 314,301.60
  4. Step 4: Simplify right side
    343,850.40x = 162,109,096,320.96
  5. Step 5: Solve for x
    x = 162,109,096,320.96/343,850.40
  6. Step 6: Final answer
    x = 471,452.40

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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.