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Finding the Fourth Proportional to 413,265.22, 620,000.79 and 117,777.22

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Solution

The fourth proportional to 413,265.22, 620,000.79 and 117,777.22 is: 176,695.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,265.22 : 620,000.79 = 117,777.22 : x
  2. Step 2: Convert to fraction form
    413,265.22/620,000.79 = 117,777.22/x
  3. Step 3: Cross multiply
    413,265.22x = 620,000.79 × 117,777.22
  4. Step 4: Simplify right side
    413,265.22x = 73,021,969,444.00
  5. Step 5: Solve for x
    x = 73,021,969,444.00/413,265.22
  6. Step 6: Final answer
    x = 176,695.17

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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.