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Finding the Fourth Proportional to 610,022.30, 841,830.86 and 338,107.73

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Solution

The fourth proportional to 610,022.30, 841,830.86 and 338,107.73 is: 466,588.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,022.30 : 841,830.86 = 338,107.73 : x
  2. Step 2: Convert to fraction form
    610,022.30/841,830.86 = 338,107.73/x
  3. Step 3: Cross multiply
    610,022.30x = 841,830.86 × 338,107.73
  4. Step 4: Simplify right side
    610,022.30x = 284,629,519,428.01
  5. Step 5: Solve for x
    x = 284,629,519,428.01/610,022.30
  6. Step 6: Final answer
    x = 466,588.71

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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.