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Finding the Fourth Proportional to 410,845.40, 616,268.10 and 361,856.60

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Solution

The fourth proportional to 410,845.40, 616,268.10 and 361,856.60 is: 542,784.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,845.40 : 616,268.10 = 361,856.60 : x
  2. Step 2: Convert to fraction form
    410,845.40/616,268.10 = 361,856.60/x
  3. Step 3: Cross multiply
    410,845.40x = 616,268.10 × 361,856.60
  4. Step 4: Simplify right side
    410,845.40x = 223,000,679,354.46
  5. Step 5: Solve for x
    x = 223,000,679,354.46/410,845.40
  6. Step 6: Final answer
    x = 542,784.90

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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.