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Finding the Fourth Proportional to 534,809.10, 802,213.65 and 456,077.10

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Solution

The fourth proportional to 534,809.10, 802,213.65 and 456,077.10 is: 684,115.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,809.10 : 802,213.65 = 456,077.10 : x
  2. Step 2: Convert to fraction form
    534,809.10/802,213.65 = 456,077.10/x
  3. Step 3: Cross multiply
    534,809.10x = 802,213.65 × 456,077.10
  4. Step 4: Simplify right side
    534,809.10x = 365,871,275,072.42
  5. Step 5: Solve for x
    x = 365,871,275,072.42/534,809.10
  6. Step 6: Final answer
    x = 684,115.65

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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.