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Finding the Fourth Proportional to 533,409.40, 800,114.10 and 234,033.40

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Solution

The fourth proportional to 533,409.40, 800,114.10 and 234,033.40 is: 351,050.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,409.40 : 800,114.10 = 234,033.40 : x
  2. Step 2: Convert to fraction form
    533,409.40/800,114.10 = 234,033.40/x
  3. Step 3: Cross multiply
    533,409.40x = 800,114.10 × 234,033.40
  4. Step 4: Simplify right side
    533,409.40x = 187,253,423,210.94
  5. Step 5: Solve for x
    x = 187,253,423,210.94/533,409.40
  6. Step 6: Final answer
    x = 351,050.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.