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Finding the Fourth Proportional to 563,533.41, 777,755.85 and 348,742.65

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Solution

The fourth proportional to 563,533.41, 777,755.85 and 348,742.65 is: 481,314.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,533.41 : 777,755.85 = 348,742.65 : x
  2. Step 2: Convert to fraction form
    563,533.41/777,755.85 = 348,742.65/x
  3. Step 3: Cross multiply
    563,533.41x = 777,755.85 × 348,742.65
  4. Step 4: Simplify right side
    563,533.41x = 271,236,636,182.00
  5. Step 5: Solve for x
    x = 271,236,636,182.00/563,533.41
  6. Step 6: Final answer
    x = 481,314.21

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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.