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Finding the Fourth Proportional to 572,663.31, 790,284.86 and 314,564.12

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Solution

The fourth proportional to 572,663.31, 790,284.86 and 314,564.12 is: 434,103.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,663.31 : 790,284.86 = 314,564.12 : x
  2. Step 2: Convert to fraction form
    572,663.31/790,284.86 = 314,564.12/x
  3. Step 3: Cross multiply
    572,663.31x = 790,284.86 × 314,564.12
  4. Step 4: Simplify right side
    572,663.31x = 248,595,256,010.98
  5. Step 5: Solve for x
    x = 248,595,256,010.98/572,663.31
  6. Step 6: Final answer
    x = 434,103.69

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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.