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Finding the Fourth Proportional to 476,203.92, 657,190.98 and 314,779.02

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Solution

The fourth proportional to 476,203.92, 657,190.98 and 314,779.02 is: 434,414.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,203.92 : 657,190.98 = 314,779.02 : x
  2. Step 2: Convert to fraction form
    476,203.92/657,190.98 = 314,779.02/x
  3. Step 3: Cross multiply
    476,203.92x = 657,190.98 × 314,779.02
  4. Step 4: Simplify right side
    476,203.92x = 206,869,932,637.24
  5. Step 5: Solve for x
    x = 206,869,932,637.24/476,203.92
  6. Step 6: Final answer
    x = 434,414.59

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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.