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Finding the Fourth Proportional to 1,078,613.84, 1,618,128.84 and 413,714

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Solution

The fourth proportional to 1,078,613.84, 1,618,128.84 and 413,714 is: 620,650.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078,613.84 : 1,618,128.84 = 413,714 : x
  2. Step 2: Convert to fraction form
    1,078,613.84/1,618,128.84 = 413,714/x
  3. Step 3: Cross multiply
    1,078,613.84x = 1,618,128.84 × 413,714
  4. Step 4: Simplify right side
    1,078,613.84x = 669,442,554,911.76
  5. Step 5: Solve for x
    x = 669,442,554,911.76/1,078,613.84
  6. Step 6: Final answer
    x = 620,650.81

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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.