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Finding the Fourth Proportional to 667,276, 998,402.82 and 467,985.40

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Solution

The fourth proportional to 667,276, 998,402.82 and 467,985.40 is: 700,216.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,276 : 998,402.82 = 467,985.40 : x
  2. Step 2: Convert to fraction form
    667,276/998,402.82 = 467,985.40/x
  3. Step 3: Cross multiply
    667,276x = 998,402.82 × 467,985.40
  4. Step 4: Simplify right side
    667,276x = 467,237,943,078.83
  5. Step 5: Solve for x
    x = 467,237,943,078.83/667,276
  6. Step 6: Final answer
    x = 700,216.92

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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.