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Finding the Fourth Proportional to 314,712.20, 473,234.70 and 263,390.60

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Solution

The fourth proportional to 314,712.20, 473,234.70 and 263,390.60 is: 396,062.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,712.20 : 473,234.70 = 263,390.60 : x
  2. Step 2: Convert to fraction form
    314,712.20/473,234.70 = 263,390.60/x
  3. Step 3: Cross multiply
    314,712.20x = 473,234.70 × 263,390.60
  4. Step 4: Simplify right side
    314,712.20x = 124,645,571,573.82
  5. Step 5: Solve for x
    x = 124,645,571,573.82/314,712.20
  6. Step 6: Final answer
    x = 396,062.09

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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.