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Finding the Fourth Proportional to 413,264.22, 619,999.29 and 117,776.22

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Solution

The fourth proportional to 413,264.22, 619,999.29 and 117,776.22 is: 176,693.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,264.22 : 619,999.29 = 117,776.22 : x
  2. Step 2: Convert to fraction form
    413,264.22/619,999.29 = 117,776.22/x
  3. Step 3: Cross multiply
    413,264.22x = 619,999.29 × 117,776.22
  4. Step 4: Simplify right side
    413,264.22x = 73,021,172,778.88
  5. Step 5: Solve for x
    x = 73,021,172,778.88/413,264.22
  6. Step 6: Final answer
    x = 176,693.67

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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.