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Finding the Fourth Proportional to 512,009.76, 706,766.94 and 385,051.80

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Solution

The fourth proportional to 512,009.76, 706,766.94 and 385,051.80 is: 531,516.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,009.76 : 706,766.94 = 385,051.80 : x
  2. Step 2: Convert to fraction form
    512,009.76/706,766.94 = 385,051.80/x
  3. Step 3: Cross multiply
    512,009.76x = 706,766.94 × 385,051.80
  4. Step 4: Simplify right side
    512,009.76x = 272,141,882,427.49
  5. Step 5: Solve for x
    x = 272,141,882,427.49/512,009.76
  6. Step 6: Final answer
    x = 531,516.98

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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.