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Finding the Fourth Proportional to 557,436.90, 769,582.17 and 367,003.88

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Solution

The fourth proportional to 557,436.90, 769,582.17 and 367,003.88 is: 506,675.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,436.90 : 769,582.17 = 367,003.88 : x
  2. Step 2: Convert to fraction form
    557,436.90/769,582.17 = 367,003.88/x
  3. Step 3: Cross multiply
    557,436.90x = 769,582.17 × 367,003.88
  4. Step 4: Simplify right side
    557,436.90x = 282,439,638,520.91
  5. Step 5: Solve for x
    x = 282,439,638,520.91/557,436.90
  6. Step 6: Final answer
    x = 506,675.53

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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.