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Finding the Fourth Proportional to 473,072.90, 709,359.67 and 206,521.34

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Solution

The fourth proportional to 473,072.90, 709,359.67 and 206,521.34 is: 309,673.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,072.90 : 709,359.67 = 206,521.34 : x
  2. Step 2: Convert to fraction form
    473,072.90/709,359.67 = 206,521.34/x
  3. Step 3: Cross multiply
    473,072.90x = 709,359.67 × 206,521.34
  4. Step 4: Simplify right side
    473,072.90x = 146,497,908,557.75
  5. Step 5: Solve for x
    x = 146,497,908,557.75/473,072.90
  6. Step 6: Final answer
    x = 309,673.01

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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.