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Finding the Fourth Proportional to 499,020.48, 688,647.57 and 284,160.54

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Solution

The fourth proportional to 499,020.48, 688,647.57 and 284,160.54 is: 392,141.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,020.48 : 688,647.57 = 284,160.54 : x
  2. Step 2: Convert to fraction form
    499,020.48/688,647.57 = 284,160.54/x
  3. Step 3: Cross multiply
    499,020.48x = 688,647.57 × 284,160.54
  4. Step 4: Simplify right side
    499,020.48x = 195,686,465,360.89
  5. Step 5: Solve for x
    x = 195,686,465,360.89/499,020.48
  6. Step 6: Final answer
    x = 392,141.15

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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.