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Finding the Fourth Proportional to 296,484.09, 409,148.31 and 160,518.14

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Solution

The fourth proportional to 296,484.09, 409,148.31 and 160,518.14 is: 221,515.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,484.09 : 409,148.31 = 160,518.14 : x
  2. Step 2: Convert to fraction form
    296,484.09/409,148.31 = 160,518.14/x
  3. Step 3: Cross multiply
    296,484.09x = 409,148.31 × 160,518.14
  4. Step 4: Simplify right side
    296,484.09x = 65,675,723,659.60
  5. Step 5: Solve for x
    x = 65,675,723,659.60/296,484.09
  6. Step 6: Final answer
    x = 221,515.17

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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.