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Finding the Fourth Proportional to 256,697.29, 385,395.09 and 144,456.50

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Solution

The fourth proportional to 256,697.29, 385,395.09 and 144,456.50 is: 216,881.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,697.29 : 385,395.09 = 144,456.50 : x
  2. Step 2: Convert to fraction form
    256,697.29/385,395.09 = 144,456.50/x
  3. Step 3: Cross multiply
    256,697.29x = 385,395.09 × 144,456.50
  4. Step 4: Simplify right side
    256,697.29x = 55,672,825,818.59
  5. Step 5: Solve for x
    x = 55,672,825,818.59/256,697.29
  6. Step 6: Final answer
    x = 216,881.24

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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.