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Finding the Fourth Proportional to 454,926, 682,360.26 and 177,666.36

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Solution

The fourth proportional to 454,926, 682,360.26 and 177,666.36 is: 266,488.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,926 : 682,360.26 = 177,666.36 : x
  2. Step 2: Convert to fraction form
    454,926/682,360.26 = 177,666.36/x
  3. Step 3: Cross multiply
    454,926x = 682,360.26 × 177,666.36
  4. Step 4: Simplify right side
    454,926x = 121,232,463,602.85
  5. Step 5: Solve for x
    x = 121,232,463,602.85/454,926
  6. Step 6: Final answer
    x = 266,488.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.