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Finding the Fourth Proportional to 504,494.87, 696,202.47 and 289,648.04

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Solution

The fourth proportional to 504,494.87, 696,202.47 and 289,648.04 is: 399,714.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,494.87 : 696,202.47 = 289,648.04 : x
  2. Step 2: Convert to fraction form
    504,494.87/696,202.47 = 289,648.04/x
  3. Step 3: Cross multiply
    504,494.87x = 696,202.47 × 289,648.04
  4. Step 4: Simplify right side
    504,494.87x = 201,653,677,397.65
  5. Step 5: Solve for x
    x = 201,653,677,397.65/504,494.87
  6. Step 6: Final answer
    x = 399,714.03

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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.