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Finding the Fourth Proportional to 296,567.68, 409,263.68 and 160,601.76

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Solution

The fourth proportional to 296,567.68, 409,263.68 and 160,601.76 is: 221,630.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,567.68 : 409,263.68 = 160,601.76 : x
  2. Step 2: Convert to fraction form
    296,567.68/409,263.68 = 160,601.76/x
  3. Step 3: Cross multiply
    296,567.68x = 409,263.68 × 160,601.76
  4. Step 4: Simplify right side
    296,567.68x = 65,728,467,312.08
  5. Step 5: Solve for x
    x = 65,728,467,312.08/296,567.68
  6. Step 6: Final answer
    x = 221,630.58

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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.