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Finding the Fourth Proportional to 546,945.10, 754,764.55 and 343,105.77

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Solution

The fourth proportional to 546,945.10, 754,764.55 and 343,105.77 is: 473,473.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,945.10 : 754,764.55 = 343,105.77 : x
  2. Step 2: Convert to fraction form
    546,945.10/754,764.55 = 343,105.77/x
  3. Step 3: Cross multiply
    546,945.10x = 754,764.55 × 343,105.77
  4. Step 4: Simplify right side
    546,945.10x = 258,964,072,096.45
  5. Step 5: Solve for x
    x = 258,964,072,096.45/546,945.10
  6. Step 6: Final answer
    x = 473,473.61

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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.