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Finding the Fourth Proportional to 557,437.90, 769,583.50 and 367,004.88

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Solution

The fourth proportional to 557,437.90, 769,583.50 and 367,004.88 is: 506,676.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,437.90 : 769,583.50 = 367,004.88 : x
  2. Step 2: Convert to fraction form
    557,437.90/769,583.50 = 367,004.88/x
  3. Step 3: Cross multiply
    557,437.90x = 769,583.50 × 367,004.88
  4. Step 4: Simplify right side
    557,437.90x = 282,440,900,067.48
  5. Step 5: Solve for x
    x = 282,440,900,067.48/557,437.90
  6. Step 6: Final answer
    x = 506,676.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.