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Finding the Fourth Proportional to 569,551.72, 785,971.62 and 406,508.44

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Solution

The fourth proportional to 569,551.72, 785,971.62 and 406,508.44 is: 560,974.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,551.72 : 785,971.62 = 406,508.44 : x
  2. Step 2: Convert to fraction form
    569,551.72/785,971.62 = 406,508.44/x
  3. Step 3: Cross multiply
    569,551.72x = 785,971.62 × 406,508.44
  4. Step 4: Simplify right side
    569,551.72x = 319,504,097,130.47
  5. Step 5: Solve for x
    x = 319,504,097,130.47/569,551.72
  6. Step 6: Final answer
    x = 560,974.69

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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.