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Finding the Fourth Proportional to 366,689.84, 506,032.92 and 213,716.48

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Solution

The fourth proportional to 366,689.84, 506,032.92 and 213,716.48 is: 294,929.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,689.84 : 506,032.92 = 213,716.48 : x
  2. Step 2: Convert to fraction form
    366,689.84/506,032.92 = 213,716.48/x
  3. Step 3: Cross multiply
    366,689.84x = 506,032.92 × 213,716.48
  4. Step 4: Simplify right side
    366,689.84x = 108,147,571,896.36
  5. Step 5: Solve for x
    x = 108,147,571,896.36/366,689.84
  6. Step 6: Final answer
    x = 294,929.29

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1.5x scale

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.