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Finding the Fourth Proportional to 499,852.42, 689,779.16 and 285,061.62

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Solution

The fourth proportional to 499,852.42, 689,779.16 and 285,061.62 is: 393,375.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,852.42 : 689,779.16 = 285,061.62 : x
  2. Step 2: Convert to fraction form
    499,852.42/689,779.16 = 285,061.62/x
  3. Step 3: Cross multiply
    499,852.42x = 689,779.16 × 285,061.62
  4. Step 4: Simplify right side
    499,852.42x = 196,629,564,791.84
  5. Step 5: Solve for x
    x = 196,629,564,791.84/499,852.42
  6. Step 6: Final answer
    x = 393,375.24

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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.