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Finding the Fourth Proportional to 702,366, 968,956.20 and 411,829.26

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Solution

The fourth proportional to 702,366, 968,956.20 and 411,829.26 is: 568,143.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,366 : 968,956.20 = 411,829.26 : x
  2. Step 2: Convert to fraction form
    702,366/968,956.20 = 411,829.26/x
  3. Step 3: Cross multiply
    702,366x = 968,956.20 × 411,829.26
  4. Step 4: Simplify right side
    702,366x = 399,044,514,818.41
  5. Step 5: Solve for x
    x = 399,044,514,818.41/702,366
  6. Step 6: Final answer
    x = 568,143.27

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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.