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Finding the Fourth Proportional to 569,406, 785,774.52 and 314,744.88

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Solution

The fourth proportional to 569,406, 785,774.52 and 314,744.88 is: 434,344.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,406 : 785,774.52 = 314,744.88 : x
  2. Step 2: Convert to fraction form
    569,406/785,774.52 = 314,744.88/x
  3. Step 3: Cross multiply
    569,406x = 785,774.52 × 314,744.88
  4. Step 4: Simplify right side
    569,406x = 247,318,507,004.46
  5. Step 5: Solve for x
    x = 247,318,507,004.46/569,406
  6. Step 6: Final answer
    x = 434,344.75

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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.