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Finding the Fourth Proportional to 821,827, 1,232,740.91 and 260,861.50

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Solution

The fourth proportional to 821,827, 1,232,740.91 and 260,861.50 is: 391,292.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,827 : 1,232,740.91 = 260,861.50 : x
  2. Step 2: Convert to fraction form
    821,827/1,232,740.91 = 260,861.50/x
  3. Step 3: Cross multiply
    821,827x = 1,232,740.91 × 260,861.50
  4. Step 4: Simplify right side
    821,827x = 321,574,642,893.97
  5. Step 5: Solve for x
    x = 321,574,642,893.97/821,827
  6. Step 6: Final answer
    x = 391,292.38

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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.