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Finding the Fourth Proportional to 697,021, 961,740.66 and 410,436.52

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Solution

The fourth proportional to 697,021, 961,740.66 and 410,436.52 is: 566,315.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,021 : 961,740.66 = 410,436.52 : x
  2. Step 2: Convert to fraction form
    697,021/961,740.66 = 410,436.52/x
  3. Step 3: Cross multiply
    697,021x = 961,740.66 × 410,436.52
  4. Step 4: Simplify right side
    697,021x = 394,733,489,632.90
  5. Step 5: Solve for x
    x = 394,733,489,632.90/697,021
  6. Step 6: Final answer
    x = 566,315.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.