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Finding the Fourth Proportional to 464,613.60, 641,392.03 and 311,595.83

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Solution

The fourth proportional to 464,613.60, 641,392.03 and 311,595.83 is: 430,153.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,613.60 : 641,392.03 = 311,595.83 : x
  2. Step 2: Convert to fraction form
    464,613.60/641,392.03 = 311,595.83/x
  3. Step 3: Cross multiply
    464,613.60x = 641,392.03 × 311,595.83
  4. Step 4: Simplify right side
    464,613.60x = 199,855,077,178.30
  5. Step 5: Solve for x
    x = 199,855,077,178.30/464,613.60
  6. Step 6: Final answer
    x = 430,153.31

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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.