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Finding the Fourth Proportional to 472,722.32, 652,360.97 and 257,863.34

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Solution

The fourth proportional to 472,722.32, 652,360.97 and 257,863.34 is: 355,853.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,722.32 : 652,360.97 = 257,863.34 : x
  2. Step 2: Convert to fraction form
    472,722.32/652,360.97 = 257,863.34/x
  3. Step 3: Cross multiply
    472,722.32x = 652,360.97 × 257,863.34
  4. Step 4: Simplify right side
    472,722.32x = 168,219,978,609.84
  5. Step 5: Solve for x
    x = 168,219,978,609.84/472,722.32
  6. Step 6: Final answer
    x = 355,853.68

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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.