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Finding the Fourth Proportional to 296,389, 409,016.84 and 162,253

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Solution

The fourth proportional to 296,389, 409,016.84 and 162,253 is: 223,909.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,389 : 409,016.84 = 162,253 : x
  2. Step 2: Convert to fraction form
    296,389/409,016.84 = 162,253/x
  3. Step 3: Cross multiply
    296,389x = 409,016.84 × 162,253
  4. Step 4: Simplify right side
    296,389x = 66,364,209,340.52
  5. Step 5: Solve for x
    x = 66,364,209,340.52/296,389
  6. Step 6: Final answer
    x = 223,909.15

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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.