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Finding the Fourth Proportional to 802,433.69, 1,107,714.59 and 512,425.19

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Solution

The fourth proportional to 802,433.69, 1,107,714.59 and 512,425.19 is: 707,374.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,433.69 : 1,107,714.59 = 512,425.19 : x
  2. Step 2: Convert to fraction form
    802,433.69/1,107,714.59 = 512,425.19/x
  3. Step 3: Cross multiply
    802,433.69x = 1,107,714.59 × 512,425.19
  4. Step 4: Simplify right side
    802,433.69x = 567,620,855,144.38
  5. Step 5: Solve for x
    x = 567,620,855,144.38/802,433.69
  6. Step 6: Final answer
    x = 707,374.16

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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.