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Finding the Fourth Proportional to 360,813.02, 497,930.09 and 233,709.84

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Solution

The fourth proportional to 360,813.02, 497,930.09 and 233,709.84 is: 322,524.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,813.02 : 497,930.09 = 233,709.84 : x
  2. Step 2: Convert to fraction form
    360,813.02/497,930.09 = 233,709.84/x
  3. Step 3: Cross multiply
    360,813.02x = 497,930.09 × 233,709.84
  4. Step 4: Simplify right side
    360,813.02x = 116,371,160,496.54
  5. Step 5: Solve for x
    x = 116,371,160,496.54/360,813.02
  6. Step 6: Final answer
    x = 322,524.84

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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.