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Finding the Fourth Proportional to 546,755.50, 754,523.06 and 305,038.12

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Solution

The fourth proportional to 546,755.50, 754,523.06 and 305,038.12 is: 420,952.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,755.50 : 754,523.06 = 305,038.12 : x
  2. Step 2: Convert to fraction form
    546,755.50/754,523.06 = 305,038.12/x
  3. Step 3: Cross multiply
    546,755.50x = 754,523.06 × 305,038.12
  4. Step 4: Simplify right side
    546,755.50x = 230,158,295,719.05
  5. Step 5: Solve for x
    x = 230,158,295,719.05/546,755.50
  6. Step 6: Final answer
    x = 420,952.87

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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.