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Finding the Fourth Proportional to 499,125, 688,753.26 and 284,222.28

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Solution

The fourth proportional to 499,125, 688,753.26 and 284,222.28 is: 392,204.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,125 : 688,753.26 = 284,222.28 : x
  2. Step 2: Convert to fraction form
    499,125/688,753.26 = 284,222.28/x
  3. Step 3: Cross multiply
    499,125x = 688,753.26 × 284,222.28
  4. Step 4: Simplify right side
    499,125x = 195,759,021,914.63
  5. Step 5: Solve for x
    x = 195,759,021,914.63/499,125
  6. Step 6: Final answer
    x = 392,204.40

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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.