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Finding the Fourth Proportional to 475,380.80, 713,071.20 and 400,731.20

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Solution

The fourth proportional to 475,380.80, 713,071.20 and 400,731.20 is: 601,096.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,380.80 : 713,071.20 = 400,731.20 : x
  2. Step 2: Convert to fraction form
    475,380.80/713,071.20 = 400,731.20/x
  3. Step 3: Cross multiply
    475,380.80x = 713,071.20 × 400,731.20
  4. Step 4: Simplify right side
    475,380.80x = 285,749,877,661.44
  5. Step 5: Solve for x
    x = 285,749,877,661.44/475,380.80
  6. Step 6: Final answer
    x = 601,096.80

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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.