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Finding the Fourth Proportional to 533,216.34, 735,361.65 and 442,428.42

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Solution

The fourth proportional to 533,216.34, 735,361.65 and 442,428.42 is: 610,155.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,216.34 : 735,361.65 = 442,428.42 : x
  2. Step 2: Convert to fraction form
    533,216.34/735,361.65 = 442,428.42/x
  3. Step 3: Cross multiply
    533,216.34x = 735,361.65 × 442,428.42
  4. Step 4: Simplify right side
    533,216.34x = 325,344,892,938.09
  5. Step 5: Solve for x
    x = 325,344,892,938.09/533,216.34
  6. Step 6: Final answer
    x = 610,155.52

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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.