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Finding the Fourth Proportional to 463,221.90, 694,897.65 and 196,980.30

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Solution

The fourth proportional to 463,221.90, 694,897.65 and 196,980.30 is: 295,498.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,221.90 : 694,897.65 = 196,980.30 : x
  2. Step 2: Convert to fraction form
    463,221.90/694,897.65 = 196,980.30/x
  3. Step 3: Cross multiply
    463,221.90x = 694,897.65 × 196,980.30
  4. Step 4: Simplify right side
    463,221.90x = 136,881,147,566.30
  5. Step 5: Solve for x
    x = 136,881,147,566.30/463,221.90
  6. Step 6: Final answer
    x = 295,498.01

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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.