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Finding the Fourth Proportional to 474,042.24, 654,194.88 and 313,038.72

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Solution

The fourth proportional to 474,042.24, 654,194.88 and 313,038.72 is: 432,004.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,042.24 : 654,194.88 = 313,038.72 : x
  2. Step 2: Convert to fraction form
    474,042.24/654,194.88 = 313,038.72/x
  3. Step 3: Cross multiply
    474,042.24x = 654,194.88 × 313,038.72
  4. Step 4: Simplify right side
    474,042.24x = 204,788,327,865.75
  5. Step 5: Solve for x
    x = 204,788,327,865.75/474,042.24
  6. Step 6: Final answer
    x = 432,004.39

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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.