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Finding the Fourth Proportional to 375,114, 562,809.24 and 197,613.84

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Solution

The fourth proportional to 375,114, 562,809.24 and 197,613.84 is: 296,493.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,114 : 562,809.24 = 197,613.84 : x
  2. Step 2: Convert to fraction form
    375,114/562,809.24 = 197,613.84/x
  3. Step 3: Cross multiply
    375,114x = 562,809.24 × 197,613.84
  4. Step 4: Simplify right side
    375,114x = 111,218,895,103.88
  5. Step 5: Solve for x
    x = 111,218,895,103.88/375,114
  6. Step 6: Final answer
    x = 296,493.59

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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.