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Finding the Fourth Proportional to 464,082.90, 696,024.06 and 164,573.22

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Solution

The fourth proportional to 464,082.90, 696,024.06 and 164,573.22 is: 246,824.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,082.90 : 696,024.06 = 164,573.22 : x
  2. Step 2: Convert to fraction form
    464,082.90/696,024.06 = 164,573.22/x
  3. Step 3: Cross multiply
    464,082.90x = 696,024.06 × 164,573.22
  4. Step 4: Simplify right side
    464,082.90x = 114,546,920,751.67
  5. Step 5: Solve for x
    x = 114,546,920,751.67/464,082.90
  6. Step 6: Final answer
    x = 246,824.27

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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.