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Finding the Fourth Proportional to 461,537.28, 637,024 and 300,111.36

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Solution

The fourth proportional to 461,537.28, 637,024 and 300,111.36 is: 414,220.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,537.28 : 637,024 = 300,111.36 : x
  2. Step 2: Convert to fraction form
    461,537.28/637,024 = 300,111.36/x
  3. Step 3: Cross multiply
    461,537.28x = 637,024 × 300,111.36
  4. Step 4: Simplify right side
    461,537.28x = 191,178,138,992.64
  5. Step 5: Solve for x
    x = 191,178,138,992.64/461,537.28
  6. Step 6: Final answer
    x = 414,220.36

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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.