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Finding the Fourth Proportional to 361,409.60, 542,632.80 and 273,281.60

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Solution

The fourth proportional to 361,409.60, 542,632.80 and 273,281.60 is: 410,314.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,409.60 : 542,632.80 = 273,281.60 : x
  2. Step 2: Convert to fraction form
    361,409.60/542,632.80 = 273,281.60/x
  3. Step 3: Cross multiply
    361,409.60x = 542,632.80 × 273,281.60
  4. Step 4: Simplify right side
    361,409.60x = 148,291,559,796.48
  5. Step 5: Solve for x
    x = 148,291,559,796.48/361,409.60
  6. Step 6: Final answer
    x = 410,314.39

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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.