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Finding the Fourth Proportional to 542,196.45, 748,235.34 and 300,483

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Solution

The fourth proportional to 542,196.45, 748,235.34 and 300,483 is: 414,668.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,196.45 : 748,235.34 = 300,483 : x
  2. Step 2: Convert to fraction form
    542,196.45/748,235.34 = 300,483/x
  3. Step 3: Cross multiply
    542,196.45x = 748,235.34 × 300,483
  4. Step 4: Simplify right side
    542,196.45x = 224,831,999,669.22
  5. Step 5: Solve for x
    x = 224,831,999,669.22/542,196.45
  6. Step 6: Final answer
    x = 414,668.89

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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.