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Finding the Fourth Proportional to 294,725, 406,720.56 and 160,589

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Solution

The fourth proportional to 294,725, 406,720.56 and 160,589 is: 221,612.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,725 : 406,720.56 = 160,589 : x
  2. Step 2: Convert to fraction form
    294,725/406,720.56 = 160,589/x
  3. Step 3: Cross multiply
    294,725x = 406,720.56 × 160,589
  4. Step 4: Simplify right side
    294,725x = 65,314,848,009.84
  5. Step 5: Solve for x
    x = 65,314,848,009.84/294,725
  6. Step 6: Final answer
    x = 221,612.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.