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Finding the Fourth Proportional to 493,121.16, 739,702.88 and 193,666.64

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Solution

The fourth proportional to 493,121.16, 739,702.88 and 193,666.64 is: 290,508.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,121.16 : 739,702.88 = 193,666.64 : x
  2. Step 2: Convert to fraction form
    493,121.16/739,702.88 = 193,666.64/x
  3. Step 3: Cross multiply
    493,121.16x = 739,702.88 × 193,666.64
  4. Step 4: Simplify right side
    493,121.16x = 143,255,771,367.92
  5. Step 5: Solve for x
    x = 143,255,771,367.92/493,121.16
  6. Step 6: Final answer
    x = 290,508.26

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Why These Related Problems?

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