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Finding the Fourth Proportional to 563,829.41, 777,331.86 and 447,927.44

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Solution

The fourth proportional to 563,829.41, 777,331.86 and 447,927.44 is: 617,541.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,829.41 : 777,331.86 = 447,927.44 : x
  2. Step 2: Convert to fraction form
    563,829.41/777,331.86 = 447,927.44/x
  3. Step 3: Cross multiply
    563,829.41x = 777,331.86 × 447,927.44
  4. Step 4: Simplify right side
    563,829.41x = 348,188,274,851.98
  5. Step 5: Solve for x
    x = 348,188,274,851.98/563,829.41
  6. Step 6: Final answer
    x = 617,541.89

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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.