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Finding the Fourth Proportional to 563,537.14, 777,761.04 and 348,746.56

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Solution

The fourth proportional to 563,537.14, 777,761.04 and 348,746.56 is: 481,319.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,537.14 : 777,761.04 = 348,746.56 : x
  2. Step 2: Convert to fraction form
    563,537.14/777,761.04 = 348,746.56/x
  3. Step 3: Cross multiply
    563,537.14x = 777,761.04 × 348,746.56
  4. Step 4: Simplify right side
    563,537.14x = 271,241,487,202.02
  5. Step 5: Solve for x
    x = 271,241,487,202.02/563,537.14
  6. Step 6: Final answer
    x = 481,319.63

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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.