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Finding the Fourth Proportional to 385,384.40, 577,817.40 and 205,499.60

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Solution

The fourth proportional to 385,384.40, 577,817.40 and 205,499.60 is: 308,111.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,384.40 : 577,817.40 = 205,499.60 : x
  2. Step 2: Convert to fraction form
    385,384.40/577,817.40 = 205,499.60/x
  3. Step 3: Cross multiply
    385,384.40x = 577,817.40 × 205,499.60
  4. Step 4: Simplify right side
    385,384.40x = 118,741,244,573.04
  5. Step 5: Solve for x
    x = 118,741,244,573.04/385,384.40
  6. Step 6: Final answer
    x = 308,111.19

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Why These Related Problems?

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