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Finding the Fourth Proportional to 546,651.93, 754,374.54 and 301,638.90

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Solution

The fourth proportional to 546,651.93, 754,374.54 and 301,638.90 is: 416,258.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,651.93 : 754,374.54 = 301,638.90 : x
  2. Step 2: Convert to fraction form
    546,651.93/754,374.54 = 301,638.90/x
  3. Step 3: Cross multiply
    546,651.93x = 754,374.54 × 301,638.90
  4. Step 4: Simplify right side
    546,651.93x = 227,548,706,433.61
  5. Step 5: Solve for x
    x = 227,548,706,433.61/546,651.93
  6. Step 6: Final answer
    x = 416,258.85

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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.