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Finding the Fourth Proportional to 557,406.36, 769,222.98 and 302,761.80

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Solution

The fourth proportional to 557,406.36, 769,222.98 and 302,761.80 is: 417,812.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,406.36 : 769,222.98 = 302,761.80 : x
  2. Step 2: Convert to fraction form
    557,406.36/769,222.98 = 302,761.80/x
  3. Step 3: Cross multiply
    557,406.36x = 769,222.98 × 302,761.80
  4. Step 4: Simplify right side
    557,406.36x = 232,891,334,026.16
  5. Step 5: Solve for x
    x = 232,891,334,026.16/557,406.36
  6. Step 6: Final answer
    x = 417,812.48

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