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Finding the Fourth Proportional to 567,733.44, 783,462.27 and 309,612.38

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Solution

The fourth proportional to 567,733.44, 783,462.27 and 309,612.38 is: 427,259.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,733.44 : 783,462.27 = 309,612.38 : x
  2. Step 2: Convert to fraction form
    567,733.44/783,462.27 = 309,612.38/x
  3. Step 3: Cross multiply
    567,733.44x = 783,462.27 × 309,612.38
  4. Step 4: Simplify right side
    567,733.44x = 242,569,618,054.90
  5. Step 5: Solve for x
    x = 242,569,618,054.90/567,733.44
  6. Step 6: Final answer
    x = 427,259.70

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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.