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Finding the Fourth Proportional to 475,732.88, 714,208.29 and 408,693.83

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Solution

The fourth proportional to 475,732.88, 714,208.29 and 408,693.83 is: 613,563.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,732.88 : 714,208.29 = 408,693.83 : x
  2. Step 2: Convert to fraction form
    475,732.88/714,208.29 = 408,693.83/x
  3. Step 3: Cross multiply
    475,732.88x = 714,208.29 × 408,693.83
  4. Step 4: Simplify right side
    475,732.88x = 291,892,521,457.85
  5. Step 5: Solve for x
    x = 291,892,521,457.85/475,732.88
  6. Step 6: Final answer
    x = 613,563.90

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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.