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Finding the Fourth Proportional to 289,111.40, 433,667.10 and 268,116.20

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Solution

The fourth proportional to 289,111.40, 433,667.10 and 268,116.20 is: 402,174.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,111.40 : 433,667.10 = 268,116.20 : x
  2. Step 2: Convert to fraction form
    289,111.40/433,667.10 = 268,116.20/x
  3. Step 3: Cross multiply
    289,111.40x = 433,667.10 × 268,116.20
  4. Step 4: Simplify right side
    289,111.40x = 116,273,174,917.02
  5. Step 5: Solve for x
    x = 116,273,174,917.02/289,111.40
  6. Step 6: Final answer
    x = 402,174.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.