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Finding the Fourth Proportional to 569,590.38, 785,857.14 and 378,636.12

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Solution

The fourth proportional to 569,590.38, 785,857.14 and 378,636.12 is: 522,399.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,590.38 : 785,857.14 = 378,636.12 : x
  2. Step 2: Convert to fraction form
    569,590.38/785,857.14 = 378,636.12/x
  3. Step 3: Cross multiply
    569,590.38x = 785,857.14 × 378,636.12
  4. Step 4: Simplify right side
    569,590.38x = 297,553,898,363.90
  5. Step 5: Solve for x
    x = 297,553,898,363.90/569,590.38
  6. Step 6: Final answer
    x = 522,399.80

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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.