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Finding the Fourth Proportional to 546,915.82, 754,744 and 301,900.75

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Solution

The fourth proportional to 546,915.82, 754,744 and 301,900.75 is: 416,623.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,915.82 : 754,744 = 301,900.75 : x
  2. Step 2: Convert to fraction form
    546,915.82/754,744 = 301,900.75/x
  3. Step 3: Cross multiply
    546,915.82x = 754,744 × 301,900.75
  4. Step 4: Simplify right side
    546,915.82x = 227,857,779,658
  5. Step 5: Solve for x
    x = 227,857,779,658/546,915.82
  6. Step 6: Final answer
    x = 416,623.13

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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.