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Finding the Fourth Proportional to 557,534.76, 769,401.06 and 342,815.10

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Solution

The fourth proportional to 557,534.76, 769,401.06 and 342,815.10 is: 473,086.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,534.76 : 769,401.06 = 342,815.10 : x
  2. Step 2: Convert to fraction form
    557,534.76/769,401.06 = 342,815.10/x
  3. Step 3: Cross multiply
    557,534.76x = 769,401.06 × 342,815.10
  4. Step 4: Simplify right side
    557,534.76x = 263,762,301,324.01
  5. Step 5: Solve for x
    x = 263,762,301,324.01/557,534.76
  6. Step 6: Final answer
    x = 473,086.74

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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.