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Finding the Fourth Proportional to 296,444.40, 409,092.84 and 160,477.68

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Solution

The fourth proportional to 296,444.40, 409,092.84 and 160,477.68 is: 221,458.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,444.40 : 409,092.84 = 160,477.68 : x
  2. Step 2: Convert to fraction form
    296,444.40/409,092.84 = 160,477.68/x
  3. Step 3: Cross multiply
    296,444.40x = 409,092.84 × 160,477.68
  4. Step 4: Simplify right side
    296,444.40x = 65,650,269,867.81
  5. Step 5: Solve for x
    x = 65,650,269,867.81/296,444.40
  6. Step 6: Final answer
    x = 221,458.96

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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.