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Finding the Fourth Proportional to 546,559.96, 754,250.24 and 301,538.05

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Solution

The fourth proportional to 546,559.96, 754,250.24 and 301,538.05 is: 416,121.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,559.96 : 754,250.24 = 301,538.05 : x
  2. Step 2: Convert to fraction form
    546,559.96/754,250.24 = 301,538.05/x
  3. Step 3: Cross multiply
    546,559.96x = 754,250.24 × 301,538.05
  4. Step 4: Simplify right side
    546,559.96x = 227,435,146,581.63
  5. Step 5: Solve for x
    x = 227,435,146,581.63/546,559.96
  6. Step 6: Final answer
    x = 416,121.13

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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.