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Finding the Fourth Proportional to 353,585.80, 529,917.90 and 164,024.20

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Solution

The fourth proportional to 353,585.80, 529,917.90 and 164,024.20 is: 245,822.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,585.80 : 529,917.90 = 164,024.20 : x
  2. Step 2: Convert to fraction form
    353,585.80/529,917.90 = 164,024.20/x
  3. Step 3: Cross multiply
    353,585.80x = 529,917.90 × 164,024.20
  4. Step 4: Simplify right side
    353,585.80x = 86,919,359,613.18
  5. Step 5: Solve for x
    x = 86,919,359,613.18/353,585.80
  6. Step 6: Final answer
    x = 245,822.54

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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.