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Finding the Fourth Proportional to 313,488.42, 432,746.38 and 211,651.76

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Solution

The fourth proportional to 313,488.42, 432,746.38 and 211,651.76 is: 292,168.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,488.42 : 432,746.38 = 211,651.76 : x
  2. Step 2: Convert to fraction form
    313,488.42/432,746.38 = 211,651.76/x
  3. Step 3: Cross multiply
    313,488.42x = 432,746.38 × 211,651.76
  4. Step 4: Simplify right side
    313,488.42x = 91,591,532,960.63
  5. Step 5: Solve for x
    x = 91,591,532,960.63/313,488.42
  6. Step 6: Final answer
    x = 292,168.79

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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.