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Finding the Fourth Proportional to 563,562, 777,795.12 and 348,771.24

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Solution

The fourth proportional to 563,562, 777,795.12 and 348,771.24 is: 481,353.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,562 : 777,795.12 = 348,771.24 : x
  2. Step 2: Convert to fraction form
    563,562/777,795.12 = 348,771.24/x
  3. Step 3: Cross multiply
    563,562x = 777,795.12 × 348,771.24
  4. Step 4: Simplify right side
    563,562x = 271,272,568,468.35
  5. Step 5: Solve for x
    x = 271,272,568,468.35/563,562
  6. Step 6: Final answer
    x = 481,353.55

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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.