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Finding the Fourth Proportional to 569,411, 785,796.52 and 339,988.33

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Solution

The fourth proportional to 569,411, 785,796.52 and 339,988.33 is: 469,189.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,411 : 785,796.52 = 339,988.33 : x
  2. Step 2: Convert to fraction form
    569,411/785,796.52 = 339,988.33/x
  3. Step 3: Cross multiply
    569,411x = 785,796.52 × 339,988.33
  4. Step 4: Simplify right side
    569,411x = 267,161,646,554.61
  5. Step 5: Solve for x
    x = 267,161,646,554.61/569,411
  6. Step 6: Final answer
    x = 469,189.47

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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.