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Finding the Fourth Proportional to 541,929.42, 812,451.06 and 204,779.07

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Solution

The fourth proportional to 541,929.42, 812,451.06 and 204,779.07 is: 307,001.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,929.42 : 812,451.06 = 204,779.07 : x
  2. Step 2: Convert to fraction form
    541,929.42/812,451.06 = 204,779.07/x
  3. Step 3: Cross multiply
    541,929.42x = 812,451.06 × 204,779.07
  4. Step 4: Simplify right side
    541,929.42x = 166,372,972,487.31
  5. Step 5: Solve for x
    x = 166,372,972,487.31/541,929.42
  6. Step 6: Final answer
    x = 307,001.18

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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.