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Finding the Fourth Proportional to 541,582.36, 812,019.30 and 511,843.48

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Solution

The fourth proportional to 541,582.36, 812,019.30 and 511,843.48 is: 767,430.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,582.36 : 812,019.30 = 511,843.48 : x
  2. Step 2: Convert to fraction form
    541,582.36/812,019.30 = 511,843.48/x
  3. Step 3: Cross multiply
    541,582.36x = 812,019.30 × 511,843.48
  4. Step 4: Simplify right side
    541,582.36x = 415,626,784,339.16
  5. Step 5: Solve for x
    x = 415,626,784,339.16/541,582.36
  6. Step 6: Final answer
    x = 767,430.43

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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.