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Finding the Fourth Proportional to 475,381.80, 713,072.70 and 400,732.20

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Solution

The fourth proportional to 475,381.80, 713,072.70 and 400,732.20 is: 601,098.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,381.80 : 713,072.70 = 400,732.20 : x
  2. Step 2: Convert to fraction form
    475,381.80/713,072.70 = 400,732.20/x
  3. Step 3: Cross multiply
    475,381.80x = 713,072.70 × 400,732.20
  4. Step 4: Simplify right side
    475,381.80x = 285,751,191,830.94
  5. Step 5: Solve for x
    x = 285,751,191,830.94/475,381.80
  6. Step 6: Final answer
    x = 601,098.30

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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.