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Finding the Fourth Proportional to 473,112.70, 652,871.91 and 258,261.82

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Solution

The fourth proportional to 473,112.70, 652,871.91 and 258,261.82 is: 356,388.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,112.70 : 652,871.91 = 258,261.82 : x
  2. Step 2: Convert to fraction form
    473,112.70/652,871.91 = 258,261.82/x
  3. Step 3: Cross multiply
    473,112.70x = 652,871.91 × 258,261.82
  4. Step 4: Simplify right side
    473,112.70x = 168,611,887,703.48
  5. Step 5: Solve for x
    x = 168,611,887,703.48/473,112.70
  6. Step 6: Final answer
    x = 356,388.42

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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.