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Finding the Fourth Proportional to 294,437.06, 406,323.22 and 160,301.06

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Solution

The fourth proportional to 294,437.06, 406,323.22 and 160,301.06 is: 221,215.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,437.06 : 406,323.22 = 160,301.06 : x
  2. Step 2: Convert to fraction form
    294,437.06/406,323.22 = 160,301.06/x
  3. Step 3: Cross multiply
    294,437.06x = 406,323.22 × 160,301.06
  4. Step 4: Simplify right side
    294,437.06x = 65,134,042,868.61
  5. Step 5: Solve for x
    x = 65,134,042,868.61/294,437.06
  6. Step 6: Final answer
    x = 221,215.50

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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.