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Finding the Fourth Proportional to 533,390.92, 735,732.64 and 342,101.32

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Solution

The fourth proportional to 533,390.92, 735,732.64 and 342,101.32 is: 471,877.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,390.92 : 735,732.64 = 342,101.32 : x
  2. Step 2: Convert to fraction form
    533,390.92/735,732.64 = 342,101.32/x
  3. Step 3: Cross multiply
    533,390.92x = 735,732.64 × 342,101.32
  4. Step 4: Simplify right side
    533,390.92x = 251,695,107,311.09
  5. Step 5: Solve for x
    x = 251,695,107,311.09/533,390.92
  6. Step 6: Final answer
    x = 471,877.38

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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.