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Finding the Fourth Proportional to 472,965.50, 652,706.15 and 258,119.41

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Solution

The fourth proportional to 472,965.50, 652,706.15 and 258,119.41 is: 356,212.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,965.50 : 652,706.15 = 258,119.41 : x
  2. Step 2: Convert to fraction form
    472,965.50/652,706.15 = 258,119.41/x
  3. Step 3: Cross multiply
    472,965.50x = 652,706.15 × 258,119.41
  4. Step 4: Simplify right side
    472,965.50x = 168,476,126,341.37
  5. Step 5: Solve for x
    x = 168,476,126,341.37/472,965.50
  6. Step 6: Final answer
    x = 356,212.30

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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.