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Finding the Fourth Proportional to 232,651.80, 348,977.70 and 209,032.20

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Solution

The fourth proportional to 232,651.80, 348,977.70 and 209,032.20 is: 313,548.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,651.80 : 348,977.70 = 209,032.20 : x
  2. Step 2: Convert to fraction form
    232,651.80/348,977.70 = 209,032.20/x
  3. Step 3: Cross multiply
    232,651.80x = 348,977.70 × 209,032.20
  4. Step 4: Simplify right side
    232,651.80x = 72,947,576,381.94
  5. Step 5: Solve for x
    x = 72,947,576,381.94/232,651.80
  6. Step 6: Final answer
    x = 313,548.30

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1.5x scale

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.