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Finding the Fourth Proportional to 355,353.60, 532,339.20 and 214,694.40

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Solution

The fourth proportional to 355,353.60, 532,339.20 and 214,694.40 is: 321,624.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,353.60 : 532,339.20 = 214,694.40 : x
  2. Step 2: Convert to fraction form
    355,353.60/532,339.20 = 214,694.40/x
  3. Step 3: Cross multiply
    355,353.60x = 532,339.20 × 214,694.40
  4. Step 4: Simplify right side
    355,353.60x = 114,290,245,140.48
  5. Step 5: Solve for x
    x = 114,290,245,140.48/355,353.60
  6. Step 6: Final answer
    x = 321,624.00

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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.