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Finding the Fourth Proportional to 533,015.67, 735,563.52 and 291,298.17

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Solution

The fourth proportional to 533,015.67, 735,563.52 and 291,298.17 is: 401,992.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,015.67 : 735,563.52 = 291,298.17 : x
  2. Step 2: Convert to fraction form
    533,015.67/735,563.52 = 291,298.17/x
  3. Step 3: Cross multiply
    533,015.67x = 735,563.52 × 291,298.17
  4. Step 4: Simplify right side
    533,015.67x = 214,268,307,294.76
  5. Step 5: Solve for x
    x = 214,268,307,294.76/533,015.67
  6. Step 6: Final answer
    x = 401,992.51

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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.