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Finding the Fourth Proportional to 577,836.68, 797,438.16 and 319,709.46

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Solution

The fourth proportional to 577,836.68, 797,438.16 and 319,709.46 is: 441,212.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,836.68 : 797,438.16 = 319,709.46 : x
  2. Step 2: Convert to fraction form
    577,836.68/797,438.16 = 319,709.46/x
  3. Step 3: Cross multiply
    577,836.68x = 797,438.16 × 319,709.46
  4. Step 4: Simplify right side
    577,836.68x = 254,948,523,516.99
  5. Step 5: Solve for x
    x = 254,948,523,516.99/577,836.68
  6. Step 6: Final answer
    x = 441,212.08

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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.