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Finding the Fourth Proportional to 294,395.50, 406,265.79 and 160,259.50

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Solution

The fourth proportional to 294,395.50, 406,265.79 and 160,259.50 is: 221,158.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,395.50 : 406,265.79 = 160,259.50 : x
  2. Step 2: Convert to fraction form
    294,395.50/406,265.79 = 160,259.50/x
  3. Step 3: Cross multiply
    294,395.50x = 406,265.79 × 160,259.50
  4. Step 4: Simplify right side
    294,395.50x = 65,107,952,372.51
  5. Step 5: Solve for x
    x = 65,107,952,372.51/294,395.50
  6. Step 6: Final answer
    x = 221,158.11

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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.