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Finding the Fourth Proportional to 349,463.82, 481,261.82 and 314,712.66

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Solution

The fourth proportional to 349,463.82, 481,261.82 and 314,712.66 is: 433,404.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,463.82 : 481,261.82 = 314,712.66 : x
  2. Step 2: Convert to fraction form
    349,463.82/481,261.82 = 314,712.66/x
  3. Step 3: Cross multiply
    349,463.82x = 481,261.82 × 314,712.66
  4. Step 4: Simplify right side
    349,463.82x = 151,459,187,528.64
  5. Step 5: Solve for x
    x = 151,459,187,528.64/349,463.82
  6. Step 6: Final answer
    x = 433,404.49

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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.