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Finding the Fourth Proportional to 557,418.60, 769,360.41 and 366,449.76

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Solution

The fourth proportional to 557,418.60, 769,360.41 and 366,449.76 is: 505,781.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,418.60 : 769,360.41 = 366,449.76 : x
  2. Step 2: Convert to fraction form
    557,418.60/769,360.41 = 366,449.76/x
  3. Step 3: Cross multiply
    557,418.60x = 769,360.41 × 366,449.76
  4. Step 4: Simplify right side
    557,418.60x = 281,931,937,598.00
  5. Step 5: Solve for x
    x = 281,931,937,598.00/557,418.60
  6. Step 6: Final answer
    x = 505,781.36

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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.