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Finding the Fourth Proportional to 534,638.45, 802,106.31 and 434,550.80

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Solution

The fourth proportional to 534,638.45, 802,106.31 and 434,550.80 is: 651,947.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,638.45 : 802,106.31 = 434,550.80 : x
  2. Step 2: Convert to fraction form
    534,638.45/802,106.31 = 434,550.80/x
  3. Step 3: Cross multiply
    534,638.45x = 802,106.31 × 434,550.80
  4. Step 4: Simplify right side
    534,638.45x = 348,555,938,695.55
  5. Step 5: Solve for x
    x = 348,555,938,695.55/534,638.45
  6. Step 6: Final answer
    x = 651,947.01

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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.