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Finding the Fourth Proportional to 472,638.80, 709,063.95 and 173,113.40

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Solution

The fourth proportional to 472,638.80, 709,063.95 and 173,113.40 is: 259,708.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,638.80 : 709,063.95 = 173,113.40 : x
  2. Step 2: Convert to fraction form
    472,638.80/709,063.95 = 173,113.40/x
  3. Step 3: Cross multiply
    472,638.80x = 709,063.95 × 173,113.40
  4. Step 4: Simplify right side
    472,638.80x = 122,748,471,201.93
  5. Step 5: Solve for x
    x = 122,748,471,201.93/472,638.80
  6. Step 6: Final answer
    x = 259,708.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.