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Finding the Fourth Proportional to 700,463.56, 1,050,799.02 and 257,197

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Solution

The fourth proportional to 700,463.56, 1,050,799.02 and 257,197 is: 385,833.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,463.56 : 1,050,799.02 = 257,197 : x
  2. Step 2: Convert to fraction form
    700,463.56/1,050,799.02 = 257,197/x
  3. Step 3: Cross multiply
    700,463.56x = 1,050,799.02 × 257,197
  4. Step 4: Simplify right side
    700,463.56x = 270,262,355,546.94
  5. Step 5: Solve for x
    x = 270,262,355,546.94/700,463.56
  6. Step 6: Final answer
    x = 385,833.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.