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Finding the Fourth Proportional to 412,816.65, 569,445.03 and 259,611.83

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Solution

The fourth proportional to 412,816.65, 569,445.03 and 259,611.83 is: 358,112.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,816.65 : 569,445.03 = 259,611.83 : x
  2. Step 2: Convert to fraction form
    412,816.65/569,445.03 = 259,611.83/x
  3. Step 3: Cross multiply
    412,816.65x = 569,445.03 × 259,611.83
  4. Step 4: Simplify right side
    412,816.65x = 147,834,662,177.42
  5. Step 5: Solve for x
    x = 147,834,662,177.42/412,816.65
  6. Step 6: Final answer
    x = 358,112.16

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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.