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Finding the Fourth Proportional to 533,211.84, 735,355.44 and 442,423.92

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Solution

The fourth proportional to 533,211.84, 735,355.44 and 442,423.92 is: 610,149.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,211.84 : 735,355.44 = 442,423.92 : x
  2. Step 2: Convert to fraction form
    533,211.84/735,355.44 = 442,423.92/x
  3. Step 3: Cross multiply
    533,211.84x = 735,355.44 × 442,423.92
  4. Step 4: Simplify right side
    533,211.84x = 325,338,836,358.13
  5. Step 5: Solve for x
    x = 325,338,836,358.13/533,211.84
  6. Step 6: Final answer
    x = 610,149.31

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