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Finding the Fourth Proportional to 823,712.22, 1,235,602.89 and 291,237.66

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Solution

The fourth proportional to 823,712.22, 1,235,602.89 and 291,237.66 is: 436,868.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,712.22 : 1,235,602.89 = 291,237.66 : x
  2. Step 2: Convert to fraction form
    823,712.22/1,235,602.89 = 291,237.66/x
  3. Step 3: Cross multiply
    823,712.22x = 1,235,602.89 × 291,237.66
  4. Step 4: Simplify right side
    823,712.22x = 359,854,094,372.84
  5. Step 5: Solve for x
    x = 359,854,094,372.84/823,712.22
  6. Step 6: Final answer
    x = 436,868.71

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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.