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Finding the Fourth Proportional to 597,702.83, 824,830.22 and 339,580.23

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Solution

The fourth proportional to 597,702.83, 824,830.22 and 339,580.23 is: 468,620.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,702.83 : 824,830.22 = 339,580.23 : x
  2. Step 2: Convert to fraction form
    597,702.83/824,830.22 = 339,580.23/x
  3. Step 3: Cross multiply
    597,702.83x = 824,830.22 × 339,580.23
  4. Step 4: Simplify right side
    597,702.83x = 280,096,034,120.65
  5. Step 5: Solve for x
    x = 280,096,034,120.65/597,702.83
  6. Step 6: Final answer
    x = 468,620.90

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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.