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Finding the Fourth Proportional to 533,016.17, 735,564.21 and 291,298.67

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Solution

The fourth proportional to 533,016.17, 735,564.21 and 291,298.67 is: 401,993.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,016.17 : 735,564.21 = 291,298.67 : x
  2. Step 2: Convert to fraction form
    533,016.17/735,564.21 = 291,298.67/x
  3. Step 3: Cross multiply
    533,016.17x = 735,564.21 × 291,298.67
  4. Step 4: Simplify right side
    533,016.17x = 214,268,876,072.60
  5. Step 5: Solve for x
    x = 214,268,876,072.60/533,016.17
  6. Step 6: Final answer
    x = 401,993.20

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Why These Related Problems?

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