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Finding the Fourth Proportional to 511,834.01, 767,128.39 and 362,117.45

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Solution

The fourth proportional to 511,834.01, 767,128.39 and 362,117.45 is: 542,735.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,834.01 : 767,128.39 = 362,117.45 : x
  2. Step 2: Convert to fraction form
    511,834.01/767,128.39 = 362,117.45/x
  3. Step 3: Cross multiply
    511,834.01x = 767,128.39 × 362,117.45
  4. Step 4: Simplify right side
    511,834.01x = 277,790,577,421.93
  5. Step 5: Solve for x
    x = 277,790,577,421.93/511,834.01
  6. Step 6: Final answer
    x = 542,735.68

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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.