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Finding the Fourth Proportional to 850,657.84, 1,274,783.10 and 471,745.24

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Solution

The fourth proportional to 850,657.84, 1,274,783.10 and 471,745.24 is: 706,950.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,657.84 : 1,274,783.10 = 471,745.24 : x
  2. Step 2: Convert to fraction form
    850,657.84/1,274,783.10 = 471,745.24/x
  3. Step 3: Cross multiply
    850,657.84x = 1,274,783.10 × 471,745.24
  4. Step 4: Simplify right side
    850,657.84x = 601,372,859,457.44
  5. Step 5: Solve for x
    x = 601,372,859,457.44/850,657.84
  6. Step 6: Final answer
    x = 706,950.35

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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.