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Finding the Fourth Proportional to 410,848.40, 616,272.60 and 361,859.60

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Solution

The fourth proportional to 410,848.40, 616,272.60 and 361,859.60 is: 542,789.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,848.40 : 616,272.60 = 361,859.60 : x
  2. Step 2: Convert to fraction form
    410,848.40/616,272.60 = 361,859.60/x
  3. Step 3: Cross multiply
    410,848.40x = 616,272.60 × 361,859.60
  4. Step 4: Simplify right side
    410,848.40x = 223,004,156,526.96
  5. Step 5: Solve for x
    x = 223,004,156,526.96/410,848.40
  6. Step 6: Final answer
    x = 542,789.40

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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.