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Finding the Fourth Proportional to 542,110.70, 812,582.85 and 205,021.10

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Solution

The fourth proportional to 542,110.70, 812,582.85 and 205,021.10 is: 307,311.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,110.70 : 812,582.85 = 205,021.10 : x
  2. Step 2: Convert to fraction form
    542,110.70/812,582.85 = 205,021.10/x
  3. Step 3: Cross multiply
    542,110.70x = 812,582.85 × 205,021.10
  4. Step 4: Simplify right side
    542,110.70x = 166,596,629,748.14
  5. Step 5: Solve for x
    x = 166,596,629,748.14/542,110.70
  6. Step 6: Final answer
    x = 307,311.09

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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.