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Finding the Fourth Proportional to 863,150.90, 1,295,115.15 and 413,698.10

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Solution

The fourth proportional to 863,150.90, 1,295,115.15 and 413,698.10 is: 620,733.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,150.90 : 1,295,115.15 = 413,698.10 : x
  2. Step 2: Convert to fraction form
    863,150.90/1,295,115.15 = 413,698.10/x
  3. Step 3: Cross multiply
    863,150.90x = 1,295,115.15 × 413,698.10
  4. Step 4: Simplify right side
    863,150.90x = 535,786,676,836.22
  5. Step 5: Solve for x
    x = 535,786,676,836.22/863,150.90
  6. Step 6: Final answer
    x = 620,733.50

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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.