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Finding the Fourth Proportional to 691,902.89, 954,804.33 and 405,613.65

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Solution

The fourth proportional to 691,902.89, 954,804.33 and 405,613.65 is: 559,734.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,902.89 : 954,804.33 = 405,613.65 : x
  2. Step 2: Convert to fraction form
    691,902.89/954,804.33 = 405,613.65/x
  3. Step 3: Cross multiply
    691,902.89x = 954,804.33 × 405,613.65
  4. Step 4: Simplify right side
    691,902.89x = 387,281,669,327.11
  5. Step 5: Solve for x
    x = 387,281,669,327.11/691,902.89
  6. Step 6: Final answer
    x = 559,734.14

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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.