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Finding the Fourth Proportional to 568,126.08, 784,018.17 and 313,486.38

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Solution

The fourth proportional to 568,126.08, 784,018.17 and 313,486.38 is: 432,613.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,126.08 : 784,018.17 = 313,486.38 : x
  2. Step 2: Convert to fraction form
    568,126.08/784,018.17 = 313,486.38/x
  3. Step 3: Cross multiply
    568,126.08x = 784,018.17 × 313,486.38
  4. Step 4: Simplify right side
    568,126.08x = 245,779,017,967.53
  5. Step 5: Solve for x
    x = 245,779,017,967.53/568,126.08
  6. Step 6: Final answer
    x = 432,613.51

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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.