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Finding the Fourth Proportional to 375,056.82, 517,476.06 and 213,853.05

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Solution

The fourth proportional to 375,056.82, 517,476.06 and 213,853.05 is: 295,058.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,056.82 : 517,476.06 = 213,853.05 : x
  2. Step 2: Convert to fraction form
    375,056.82/517,476.06 = 213,853.05/x
  3. Step 3: Cross multiply
    375,056.82x = 517,476.06 × 213,853.05
  4. Step 4: Simplify right side
    375,056.82x = 110,663,833,732.98
  5. Step 5: Solve for x
    x = 110,663,833,732.98/375,056.82
  6. Step 6: Final answer
    x = 295,058.85

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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.