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Finding the Fourth Proportional to 358,604.40, 537,906.60 and 209,013.60

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Solution

The fourth proportional to 358,604.40, 537,906.60 and 209,013.60 is: 313,520.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,604.40 : 537,906.60 = 209,013.60 : x
  2. Step 2: Convert to fraction form
    358,604.40/537,906.60 = 209,013.60/x
  3. Step 3: Cross multiply
    358,604.40x = 537,906.60 × 209,013.60
  4. Step 4: Simplify right side
    358,604.40x = 112,429,794,929.76
  5. Step 5: Solve for x
    x = 112,429,794,929.76/358,604.40
  6. Step 6: Final answer
    x = 313,520.40

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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.