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Finding the Fourth Proportional to 563,826, 777,327.13 and 447,924

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Solution

The fourth proportional to 563,826, 777,327.13 and 447,924 is: 617,537.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,826 : 777,327.13 = 447,924 : x
  2. Step 2: Convert to fraction form
    563,826/777,327.13 = 447,924/x
  3. Step 3: Cross multiply
    563,826x = 777,327.13 × 447,924
  4. Step 4: Simplify right side
    563,826x = 348,183,477,378.12
  5. Step 5: Solve for x
    x = 348,183,477,378.12/563,826
  6. Step 6: Final answer
    x = 617,537.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.