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Finding the Fourth Proportional to 533,037.40, 735,520.52 and 342,309.12

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Solution

The fourth proportional to 533,037.40, 735,520.52 and 342,309.12 is: 472,340.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,037.40 : 735,520.52 = 342,309.12 : x
  2. Step 2: Convert to fraction form
    533,037.40/735,520.52 = 342,309.12/x
  3. Step 3: Cross multiply
    533,037.40x = 735,520.52 × 342,309.12
  4. Step 4: Simplify right side
    533,037.40x = 251,775,381,943.14
  5. Step 5: Solve for x
    x = 251,775,381,943.14/533,037.40
  6. Step 6: Final answer
    x = 472,340.93

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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.