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Finding the Fourth Proportional to 464,373.80, 695,666.46 and 394,078.76

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Solution

The fourth proportional to 464,373.80, 695,666.46 and 394,078.76 is: 590,359.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,373.80 : 695,666.46 = 394,078.76 : x
  2. Step 2: Convert to fraction form
    464,373.80/695,666.46 = 394,078.76/x
  3. Step 3: Cross multiply
    464,373.80x = 695,666.46 × 394,078.76
  4. Step 4: Simplify right side
    464,373.80x = 274,147,375,930.39
  5. Step 5: Solve for x
    x = 274,147,375,930.39/464,373.80
  6. Step 6: Final answer
    x = 590,359.27

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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.