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Finding the Fourth Proportional to 533,034.14, 735,516.05 and 342,305.87

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Solution

The fourth proportional to 533,034.14, 735,516.05 and 342,305.87 is: 472,336.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,034.14 : 735,516.05 = 342,305.87 : x
  2. Step 2: Convert to fraction form
    533,034.14/735,516.05 = 342,305.87/x
  3. Step 3: Cross multiply
    533,034.14x = 735,516.05 × 342,305.87
  4. Step 4: Simplify right side
    533,034.14x = 251,771,456,005.10
  5. Step 5: Solve for x
    x = 251,771,456,005.10/533,034.14
  6. Step 6: Final answer
    x = 472,336.46

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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.