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Finding the Fourth Proportional to 315,824.08, 435,795.24 and 202,799.92

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Solution

The fourth proportional to 315,824.08, 435,795.24 and 202,799.92 is: 279,836.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,824.08 : 435,795.24 = 202,799.92 : x
  2. Step 2: Convert to fraction form
    315,824.08/435,795.24 = 202,799.92/x
  3. Step 3: Cross multiply
    315,824.08x = 435,795.24 × 202,799.92
  4. Step 4: Simplify right side
    315,824.08x = 88,379,239,808.38
  5. Step 5: Solve for x
    x = 88,379,239,808.38/315,824.08
  6. Step 6: Final answer
    x = 279,836.93

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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.