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Finding the Fourth Proportional to 296,567.84, 409,261.74 and 160,599.62

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Solution

The fourth proportional to 296,567.84, 409,261.74 and 160,599.62 is: 221,626.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,567.84 : 409,261.74 = 160,599.62 : x
  2. Step 2: Convert to fraction form
    296,567.84/409,261.74 = 160,599.62/x
  3. Step 3: Cross multiply
    296,567.84x = 409,261.74 × 160,599.62
  4. Step 4: Simplify right side
    296,567.84x = 65,727,279,924.54
  5. Step 5: Solve for x
    x = 65,727,279,924.54/296,567.84
  6. Step 6: Final answer
    x = 221,626.46

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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.