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Finding the Fourth Proportional to 1,431,741, 2,147,624.46 and 434,469

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Solution

The fourth proportional to 1,431,741, 2,147,624.46 and 434,469 is: 651,707.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431,741 : 2,147,624.46 = 434,469 : x
  2. Step 2: Convert to fraction form
    1,431,741/2,147,624.46 = 434,469/x
  3. Step 3: Cross multiply
    1,431,741x = 2,147,624.46 × 434,469
  4. Step 4: Simplify right side
    1,431,741x = 933,076,251,511.74
  5. Step 5: Solve for x
    x = 933,076,251,511.74/1,431,741
  6. Step 6: Final answer
    x = 651,707.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.