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Finding the Fourth Proportional to 472,538.22, 652,118.52 and 257,690.04

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Solution

The fourth proportional to 472,538.22, 652,118.52 and 257,690.04 is: 355,620.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,538.22 : 652,118.52 = 257,690.04 : x
  2. Step 2: Convert to fraction form
    472,538.22/652,118.52 = 257,690.04/x
  3. Step 3: Cross multiply
    472,538.22x = 652,118.52 × 257,690.04
  4. Step 4: Simplify right side
    472,538.22x = 168,044,447,503.54
  5. Step 5: Solve for x
    x = 168,044,447,503.54/472,538.22
  6. Step 6: Final answer
    x = 355,620.86

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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.