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Finding the Fourth Proportional to 523,652.32, 722,595.81 and 294,191.61

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Solution

The fourth proportional to 523,652.32, 722,595.81 and 294,191.61 is: 405,959.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,652.32 : 722,595.81 = 294,191.61 : x
  2. Step 2: Convert to fraction form
    523,652.32/722,595.81 = 294,191.61/x
  3. Step 3: Cross multiply
    523,652.32x = 722,595.81 × 294,191.61
  4. Step 4: Simplify right side
    523,652.32x = 212,581,624,723.15
  5. Step 5: Solve for x
    x = 212,581,624,723.15/523,652.32
  6. Step 6: Final answer
    x = 405,959.48

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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.