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Finding the Fourth Proportional to 691,488, 1,037,407.04 and 192,852

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Solution

The fourth proportional to 691,488, 1,037,407.04 and 192,852 is: 289,326.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,488 : 1,037,407.04 = 192,852 : x
  2. Step 2: Convert to fraction form
    691,488/1,037,407.04 = 192,852/x
  3. Step 3: Cross multiply
    691,488x = 1,037,407.04 × 192,852
  4. Step 4: Simplify right side
    691,488x = 200,066,022,478.08
  5. Step 5: Solve for x
    x = 200,066,022,478.08/691,488
  6. Step 6: Final answer
    x = 289,326.82

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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.