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Finding the Fourth Proportional to 463,733.48, 696,306.54 and 440,898.37

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Solution

The fourth proportional to 463,733.48, 696,306.54 and 440,898.37 is: 662,019.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,733.48 : 696,306.54 = 440,898.37 : x
  2. Step 2: Convert to fraction form
    463,733.48/696,306.54 = 440,898.37/x
  3. Step 3: Cross multiply
    463,733.48x = 696,306.54 × 440,898.37
  4. Step 4: Simplify right side
    463,733.48x = 307,000,418,506.34
  5. Step 5: Solve for x
    x = 307,000,418,506.34/463,733.48
  6. Step 6: Final answer
    x = 662,019.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.