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Finding the Fourth Proportional to 564,567.98, 845,744.76 and 327,412.40

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Solution

The fourth proportional to 564,567.98, 845,744.76 and 327,412.40 is: 490,476.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,567.98 : 845,744.76 = 327,412.40 : x
  2. Step 2: Convert to fraction form
    564,567.98/845,744.76 = 327,412.40/x
  3. Step 3: Cross multiply
    564,567.98x = 845,744.76 × 327,412.40
  4. Step 4: Simplify right side
    564,567.98x = 276,907,321,659.02
  5. Step 5: Solve for x
    x = 276,907,321,659.02/564,567.98
  6. Step 6: Final answer
    x = 490,476.49

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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.