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Finding the Fourth Proportional to 772,692.10, 1,066,378.94 and 428,638.96

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Solution

The fourth proportional to 772,692.10, 1,066,378.94 and 428,638.96 is: 591,557.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,692.10 : 1,066,378.94 = 428,638.96 : x
  2. Step 2: Convert to fraction form
    772,692.10/1,066,378.94 = 428,638.96/x
  3. Step 3: Cross multiply
    772,692.10x = 1,066,378.94 × 428,638.96
  4. Step 4: Simplify right side
    772,692.10x = 457,091,559,807.50
  5. Step 5: Solve for x
    x = 457,091,559,807.50/772,692.10
  6. Step 6: Final answer
    x = 591,557.18

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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.