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Finding the Fourth Proportional to 600,511.34, 827,752.83 and 472,984.94

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Solution

The fourth proportional to 600,511.34, 827,752.83 and 472,984.94 is: 651,968.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,511.34 : 827,752.83 = 472,984.94 : x
  2. Step 2: Convert to fraction form
    600,511.34/827,752.83 = 472,984.94/x
  3. Step 3: Cross multiply
    600,511.34x = 827,752.83 × 472,984.94
  4. Step 4: Simplify right side
    600,511.34x = 391,514,622,632.38
  5. Step 5: Solve for x
    x = 391,514,622,632.38/600,511.34
  6. Step 6: Final answer
    x = 651,968.74

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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.