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Finding the Fourth Proportional to 296,606.58, 409,314.99 and 160,637.40

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Solution

The fourth proportional to 296,606.58, 409,314.99 and 160,637.40 is: 221,678.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,606.58 : 409,314.99 = 160,637.40 : x
  2. Step 2: Convert to fraction form
    296,606.58/409,314.99 = 160,637.40/x
  3. Step 3: Cross multiply
    296,606.58x = 409,314.99 × 160,637.40
  4. Step 4: Simplify right side
    296,606.58x = 65,751,295,774.63
  5. Step 5: Solve for x
    x = 65,751,295,774.63/296,606.58
  6. Step 6: Final answer
    x = 221,678.48

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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.