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Finding the Fourth Proportional to 451,646.51, 677,732.13 and 202,328.51

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Solution

The fourth proportional to 451,646.51, 677,732.13 and 202,328.51 is: 303,610.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,646.51 : 677,732.13 = 202,328.51 : x
  2. Step 2: Convert to fraction form
    451,646.51/677,732.13 = 202,328.51/x
  3. Step 3: Cross multiply
    451,646.51x = 677,732.13 × 202,328.51
  4. Step 4: Simplify right side
    451,646.51x = 137,124,528,653.37
  5. Step 5: Solve for x
    x = 137,124,528,653.37/451,646.51
  6. Step 6: Final answer
    x = 303,610.30

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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.